1. Program Address Generator (PAG) for 24-bit RISC DSP Architecture
Advanced
Toolbox: DSP System Toolbox, Fixed-Point Designer
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Construct and verify a Program Address Generator (PAG) for a 24-bit Harvard-architecture RISC DSP processor managing stack pointer, status registers, and zero-overhead hardware loops for high-throughput digital filtering pipelines.
βοΈ Key MATLAB Functions:
fibitgetbitsetbitshiftfixedpoint
π Expected Output & Metrics: Pipeline execution cycle latency plots, instruction cycle efficiency gains (>20%), zero-cycle branch penalties, and state machine transition diagrams.
PC = fi(0, 0, 24, 0);
Stack = zeros(8, 1, 'uint32');
SP = 0;
Loop_Start = fi(hex2dec('000100'), 0, 24, 0);
Loop_End = fi(hex2dec('000120'), 0, 24, 0);
Loop_Count = 4;
trace = zeros(150, 1);
for cycle = 1:150
trace(cycle) = double(PC);
if PC == Loop_End && Loop_Count > 1
PC = Loop_Start;
Loop_Count = Loop_Count - 1;
else
PC = fi(PC + 1, 0, 24, 0);
end
end
figure; plot(trace, 'LineWidth', 1.5); grid on;
xlabel('Execution Cycle'); ylabel('Program Address (Decimal)');
title('PAG Address Trace with Zero-Overhead Hardware Looping');
Est. Duration: 3β5 Weeks
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2. Digital Guitar Effects Unit and 8-Band Equalizer
Beginner
Toolbox: Audio Toolbox, DSP System Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Design an 8-band graphic equalizer (20 Hzβ3 kHz) and real-time discrete-time audio effects including soft-clipping distortion, feedback delay, reverb, chorus, and flanger targeted for DSP hardware evaluation.
βοΈ Key MATLAB Functions:
designfiltaudioreadfilterdsp.Delaysoundsc
π Expected Output & Metrics: Frequency response plots across 8 equalizer bands, delay time tracking curves, audio THD suppression, and signal-to-noise ratio SNR > 85 dB.
fs = 44100; t = (0:fs-1)/fs;
dry = sin(2*pi*220*t) + 0.5*sin(2*pi*440*t) + 0.25*sin(2*pi*880*t);
drive = 4;
overdrive = (2/pi) * atan(drive * dry);
delay_samples = round(0.2 * fs);
echo_sig = zeros(size(overdrive));
echo_sig(1:delay_samples) = overdrive(1:delay_samples);
for n = (delay_samples + 1):length(overdrive)
echo_sig(n) = overdrive(n) + 0.4 * echo_sig(n - delay_samples);
end
d_eq = designfilt('peakingequalizer', 'Gain', 6, ...
'CenterFrequency', 1000, 'Bandwidth', 300, 'SampleRate', fs);
wet = filter(d_eq, echo_sig);
figure; plot(t(1:2000), dry(1:2000), 'b', t(1:2000), wet(1:2000), 'r', 'LineWidth', 1.2);
legend('Dry Input Guitar', 'Wet Multi-Effects Output'); xlabel('Time (s)'); ylabel('Amplitude');
Est. Duration: 6β8 Hours
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3. Psychoacoustic Analysis of Highway Sound Barrier Effectiveness
Intermediate
Toolbox: Audio Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Analyze sound barrier performance using short-time psychoacoustic parameters: Zwicker loudness (DIN 45631), sharpness, roughness, fluctuation strength, and psychoacoustic annoyance index beyond simple dBA SPL metrics.
βοΈ Key MATLAB Functions:
acousticLoudnessacousticSharpnessstftpwelchdesignfilt
π Expected Output & Metrics: Psychoacoustic Annoyance Index (PA) reduction (>30%), Bark-scale specific loudness spectrograms, and barrier acoustic insertion loss curves.
fs = 48000; t = 0:1/fs:2;
raw_traffic = filter(1, [1 -0.92], randn(size(t)));
d_barrier = designfilt('lowpassiir', 'FilterOrder', 4, ...
'PassbandFrequency', 350, 'StopbandFrequency', 1000, 'SampleRate', fs);
mitigated_traffic = filter(d_barrier, raw_traffic);
[loudness_raw, spec_loud_raw] = acousticLoudness(raw_traffic', fs);
[loudness_mit, spec_loud_mit] = acousticLoudness(mitigated_traffic', fs);
sharp_raw = acousticSharpness(raw_traffic', fs);
sharp_mit = acousticSharpness(mitigated_traffic', fs);
fprintf('Loudness: Raw = %.2f Sones | Mitigated = %.2f Sones (Reduction: %.1f%%)\n', ...
loudness_raw, loudness_mit, (1 - loudness_mit/loudness_raw)*100);
fprintf('Sharpness: Raw = %.2f Acums | Mitigated = %.2f Acums\n', sharp_raw, sharp_mit);
Est. Duration: 1β2 Weeks
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4. Synthetic Aperture Radar (SAR) Image Simulation
Advanced
Toolbox: Phased Array System Toolbox, Radar Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Simulate radar pulse transmission, platform flight trajectory, matched filtering, and Range-Doppler / Backprojection 2D SAR image reconstruction algorithms to resolve multiple ground targets.
βοΈ Key MATLAB Functions:
phased.LinearFMWaveformmatchedFilterfft2ifft2imagesc
π Expected Output & Metrics: Azimuth/range spatial resolution (< 1m), point spread function (PSF) cross-sections, and 2D target reflectivity intensity heatmaps.
c = 3e8; B = 50e6; fs = 2*B; tau = 5e-6; K = B/tau;
t_range = -tau/2:1/fs:tau/2;
s_chirp = exp(1j * pi * K * t_range.^2);
num_azimuth = 128; num_range = length(t_range);
raw_echo = zeros(num_azimuth, num_range);
matched_filt = conj(fliplr(s_chirp));
range_compressed = zeros(num_azimuth, num_range);
for az = 1:num_azimuth
raw_echo(az, :) = s_chirp + 0.05*(randn(1, num_range) + 1j*randn(1, num_range));
range_compressed(az, :) = conv(raw_echo(az, :), matched_filt, 'same');
end
sar_image = fftshift(fft(range_compressed, [], 1), 1);
figure; imagesc(abs(sar_image)); colormap('jet'); colorbar;
title('SAR 2D Reconstructed Target Intensity'); xlabel('Range Bins'); ylabel('Doppler / Azimuth Bins');
Est. Duration: 3β6 Weeks
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5. Multiple Input Digital Stethoscope Signal Processing
Intermediate
Toolbox: Signal Processing Toolbox, Audio Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Multi-channel acoustic sensing system processing body sounds through zero-phase bandpass filtering, spatial noise rejection, and spectral cardiac feature extraction for S1/S2 heart sound detection.
βοΈ Key MATLAB Functions:
butterfiltfiltpwelchspectrogramfindpeaks
π Expected Output & Metrics: Signal-to-noise ratio enhancement (>15 dB), S1/S2 fundamental cardiac rhythm detection accuracy (>94%), and clean Phonocardiogram (PCG) waveforms.
fs = 4000; t = 0:1/fs:3;
s1 = sin(2*pi*50*t) .* exp(-mod(t, 0.8)/0.04);
s2 = 0.6 * sin(2*pi*85*t) .* exp(-mod(t - 0.28, 0.8)/0.03);
clean_heart = s1 + s2;
ambient_noise = 0.5 * sin(2*pi*450*t) + 0.25 * randn(size(t));
raw_mic = clean_heart + ambient_noise;
[b, a] = butter(4, [20 180]/(fs/2), 'bandpass');
clean_pcg = filtfilt(b, a, raw_mic);
figure;
subplot(2,1,1); plot(t(1:4000), raw_mic(1:4000), 'r'); title('Raw Corrupted Stethoscope Signal');
subplot(2,1,2); plot(t(1:4000), clean_pcg(1:4000), 'b', 'LineWidth', 1.3); title('Filtered Phonocardiogram (S1 & S2 Clean Waveform)');
xlabel('Time (s)');
Est. Duration: 1β2 Weeks
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6. Monophonic Pitch Recognition & Audio-to-MIDI Converter
Beginner
Toolbox: Audio Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Real-time fundamental frequency (F0) tracking and monophonic pitch detection converting vocal or instrumental audio into standardized MIDI musical scores using autocorrelation and harmonic summation.
βοΈ Key MATLAB Functions:
pitchxcorrmidimsgwriteMIDIaudioread
π Expected Output & Metrics: Pitch tracking accuracy (>96%), note onset timing jitter < 10 ms, and validated .mid file score export.
fs = 44100; t = 0:1/fs:0.5;
f_note = 440;
audio_in = sin(2*pi*f_note*t) + 0.4*sin(2*pi*2*f_note*t) + 0.1*randn(size(t));
frameLen = 2048; overlap = 1024;
[f0, timeLocs] = pitch(audio_in', fs, 'Method', 'SRH', ...
'Range', [50 800], 'WindowLength', frameLen, 'OverlapLength', overlap);
valid_f0 = f0(~isnan(f0) & f0 > 0);
midi_note = round(69 + 12 * log2(median(valid_f0) / 440));
fprintf('Estimated Fundamental Freq: %.1f Hz\n', median(valid_f0));
fprintf('Exported MIDI Note: %d (A4 Standard Key)\n', midi_note);
Est. Duration: 4β6 Hours
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7. Binary Arithmetic Architectures for DSP Hardware Acceleration
Intermediate
Toolbox: Fixed-Point Designer, HDL Coder
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Comparative trade-off evaluation of parallel adders (Carry-Lookahead, Brent-Kung) and multipliers (Modified Booth, Wallace Tree) implemented in DSP Multiply-Accumulate (MAC) arithmetic units.
βοΈ Key MATLAB Functions:
fiquantizefixedpointbitshiftfimath
π Expected Output & Metrics: Critical path gate latency comparison, accumulator bit-growth overflow immunity, and quantization error power spectral density.
F = fimath('RoundingMethod', 'Floor', 'OverflowAction', 'Wrap');
WordLen = 16; FracLen = 14;
a = fi(sin(2*pi*(0:99)/100), 1, WordLen, FracLen, F);
b = fi(cos(2*pi*(0:99)/100), 1, WordLen, FracLen, F);
acc = fi(0, 1, 40, 28, F);
acc_hist = zeros(100, 1);
for k = 1:100
prod = a(k) * b(k);
acc = acc + prod;
acc_hist(k) = double(acc);
end
double_ref = cumsum(sin(2*pi*(0:99)/100) .* cos(2*pi*(0:99)/100));
q_err = abs(double_ref - acc_hist');
fprintf('Max MAC Quantization Error vs IEEE Double: %e\n', max(q_err));
Est. Duration: 1β3 Weeks
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8. Low-Cost Platform for Real-Time Diagnostic Medical Imaging
Intermediate
Toolbox: Image Processing Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Development of a real-time ultrasound/diagnostic image reconstruction platform using 2D adaptive spatial filtering, Rayleigh speckle reduction, and CLAHE contrast enhancement for anatomical feature extraction.
βοΈ Key MATLAB Functions:
wiener2adapthisteqedgeimcontrastmedfilt2
π Expected Output & Metrics: Contrast-to-noise ratio (CNR) improvement (>25%), frame rate execution > 30 FPS, and edge preservation index > 0.85.
I = im2double(imread('cameraman.tif'));
I_noisy = max(0, min(1, I + 0.15*randn(size(I)).*I));
I_denoised = wiener2(I_noisy, [5 5]);
I_clahe = adapthisteq(I_denoised, 'ClipLimit', 0.02, 'Distribution', 'rayleigh');
edges = edge(I_clahe, 'Canny', [0.08 0.22]);
figure;
subplot(1,3,1); imshow(I_noisy); title('Raw Speckled Ultrasound');
subplot(1,3,2); imshow(I_clahe); title('Despeckled & CLAHE Enhanced');
subplot(1,3,3); imshow(edges); title('Anatomical Boundaries');
Est. Duration: 1β2 Weeks
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9. Swept-Tone Evoked Otoacoustic Emissions Stimulus Equalization
Advanced
Toolbox: Audio Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Equalization of swept-tone (logarithmic chirp) acoustic stimuli and deconvolution processing for neonatal hearing screening and Otoacoustic Emission (OAE) cochlear outer hair cell response extraction.
βοΈ Key MATLAB Functions:
chirpdeconvtfestimatefftifft
π Expected Output & Metrics: OAE response magnitude boost (+6 dB compared to click stimuli), flat stimulus ear canal calibration (Β±1 dB), and SNR > 20 dB.
fs = 44100; T = 0.5; t = 0:1/fs:T;
f0 = 500; f1 = 8000;
stimulus = chirp(t, f0, T, f1, 'logarithmic');
[b_ear, a_ear] = butter(2, [2500 3500]/(fs/2), 'bandpass');
ear_response = filter(b_ear, a_ear, stimulus) + 0.2*stimulus;
N_fft = 2048;
H = fft(ear_response, N_fft);
H_inv = conj(H) ./ (abs(H).^2 + 1e-3);
equalized_sig = real(ifft(fft(stimulus, N_fft) .* H_inv));
figure;
subplot(2,1,1); plot(t(1:1000), stimulus(1:1000)); title('Raw Logarithmic Chirp Stimulus');
subplot(2,1,2); plot(t(1:1000), equalized_sig(1:1000), 'r'); title('Pre-Equalized Ear Canal Stimulus');
xlabel('Time (s)');
Est. Duration: 2β4 Weeks
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10. FIR & IIR Digital Filter Design and Quantization Analysis
Beginner
Toolbox: Signal Processing Toolbox, Fixed-Point Designer
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Design Parks-McClellan equiripple FIR and Elliptic IIR digital filters. Evaluate coefficient quantization degradation across 8-bit, 16-bit, and double-precision implementations.
βοΈ Key MATLAB Functions:
firpmellipfreqzfvtoolfi
π Expected Output & Metrics: Frequency response overlay plots, limit-cycle oscillation detection, stopband attenuation loss, and pole-zero relocation diagrams.
fs = 48000; fp = 6000; fstop = 9000;
f_pts = [0 fp fstop fs/2]/(fs/2); a_pts = [1 1 0 0];
b_fir = firpm(40, f_pts, a_pts);
b_q = fi(b_fir, 1, 16, 15);
[h_double, f] = freqz(b_fir, 1, 1024, fs);
[h_quant, ~] = freqz(double(b_q), 1, 1024, fs);
figure;
plot(f/1000, 20*log10(abs(h_double)), 'b', f/1000, 20*log10(abs(h_quant)), 'r--', 'LineWidth', 1.5);
grid on; xlabel('Frequency (kHz)'); ylabel('Magnitude (dB)');
legend('Double Precision FIR', '16-bit Quantized FIR');
title('FIR Filter Quantization Magnitude Response');
Est. Duration: 4β6 Hours
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11. Adaptive Noise Cancellation Using LMS Algorithm
Intermediate
Toolbox: DSP System Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Remove correlated 50/60 Hz power-line hum and acoustic echoes from desired speech signals using the Least Mean Squares (LMS) adaptive FIR filtering algorithm.
βοΈ Key MATLAB Functions:
dsp.LMSFilterfiltersnrpwelchmean
π Expected Output & Metrics: Mean Squared Error (MSE) learning curves, adaptive weight trajectory convergence, and output SNR enhancement > 22 dB.
fs = 8000; N = 4000; t = (0:N-1)'/fs;
s = sin(2*pi*300*t) + 0.5*sin(2*pi*700*t);
noise_ref = sin(2*pi*50*t);
noise_dist = 0.8*sin(2*pi*50*t + pi/4) + 0.2*sin(2*pi*150*t);
primary_in = s + noise_dist;
lms = dsp.LMSFilter('Length', 32, 'StepSize', 0.01);
[y, e] = lms(noise_ref, primary_in);
figure;
subplot(2,1,1); plot(t(1:500), primary_in(1:500), 'r'); title('Noisy Primary Signal');
subplot(2,1,2); plot(t(1:500), e(1:500), 'g', 'LineWidth', 1.2); title('LMS Error Output (Recovered Speech)');
xlabel('Time (s)');
Est. Duration: 1β2 Weeks
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12. Real-Time FFT Audio Spectrum Analyzer & Harmonic Distortion (THD) Measurement
Beginner
Toolbox: Audio Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Implement an N-point windowed FFT audio spectrum visualizer computing Total Harmonic Distortion (THD), Signal-to-Noise-and-Distortion (SINAD), and Spurious-Free Dynamic Range (SFDR).
βοΈ Key MATLAB Functions:
fftthdsinadsfdrhann
π Expected Output & Metrics: Dynamic dBFS audio spectral display, automated fundamental frequency peak detection, and quantitative THD / SINAD measurements.
fs = 44100; N = 2048; t = (0:N-1)/fs;
x = sin(2*pi*1000*t) + 0.04*sin(2*pi*2000*t) + 0.015*sin(2*pi*3000*t);
w = hann(N)';
X_fft = fft(x .* w, N);
mag_db = 20*log10(abs(X_fft(1:N/2+1)) / (N/4));
f_axis = (0:N/2)*(fs/N);
thd_val = thd(x, fs);
sinad_val = sinad(x, fs);
figure; plot(f_axis/1000, mag_db, 'LineWidth', 1.5); grid on;
xlabel('Frequency (kHz)'); ylabel('Magnitude (dBFS)');
title(sprintf('Audio FFT Spectrum (THD = %.2f dB, SINAD = %.2f dB)', thd_val, sinad_val));
Est. Duration: 4β6 Hours
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13. DTMF Tone Generator and Goertzel Algorithm Dual-Tone Decoder
Beginner
Toolbox: Signal Processing Toolbox, DSP System Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Implement ITU-T standard Dual-Tone Multi-Frequency (DTMF) keypad signal generation and decode telephone touch-tones efficiently in real-time using the Goertzel single-frequency DFT filter algorithm.
βοΈ Key MATLAB Functions:
goertzelsoundscaudiowriteround
π Expected Output & Metrics: 100% DTMF keypad touch-tone detection accuracy in AWGN channels down to 0 dB SNR, computational speedup > 8x vs full FFT.
fs = 8000; t = 0:1/fs:0.1;
row_f = [697 770 852 941]; col_f = [1209 1336 1477 1633];
keypad = ['1' '2' '3' 'A'; '4' '5' '6' 'B'; '7' '8' '9' 'C'; '*' '0' '#' 'D'];
tx_sig = sin(2*pi*row_f(3)*t) + sin(2*pi*col_f(3)*t) + 0.3*randn(size(t));
test_freqs = [row_f col_f];
indices = round(test_freqs/fs * length(tx_sig)) + 1;
dft_vals = goertzel(tx_sig, indices);
energies = abs(dft_vals).^2;
[~, r_idx] = max(energies(1:4));
[~, c_idx] = max(energies(5:8));
fprintf('Decoded Key: %s (Transmission Verified!)\n', keypad(r_idx, c_idx));
Est. Duration: 4β6 Hours
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14. Multirate Polyphase Decimator and Interpolator Filter Bank
Intermediate
Toolbox: DSP System Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Implement computationally efficient Noble Identity polyphase decomposition filter banks for multirate decimation (downsampling) and interpolation (upsampling) without spectral imaging or aliasing.
βοΈ Key MATLAB Functions:
dsp.FIRDecimatordsp.FIRInterpolatordesignfiltpwelch
π Expected Output & Metrics: Aliasing suppression > 60 dB, 4x arithmetic operation reductions via polyphase FIR commutators, and PSD validation.
M = 4; fs_in = 96000; fs_out = fs_in / M;
t_in = 0:1/fs_in:0.02;
x = sin(2*pi*4000*t_in) + sin(2*pi*30000*t_in);
d_fir = designfilt('lowpassfir', 'PassbandFrequency', 9000, ...
'StopbandFrequency', 12000, 'SampleRate', fs_in);
decimator = dsp.FIRDecimator('DecimationFactor', M, 'Numerator', d_fir.Coefficients);
y = decimator(x');
figure;
subplot(2,1,1); pwelch(x, 256, 128, 512, fs_in); title('Input Spectrum @ 96 kHz');
subplot(2,1,2); pwelch(y, 64, 32, 128, fs_out); title('Decimated Output Spectrum @ 24 kHz (Aliasing Suppressed)');
Est. Duration: 1β2 Weeks
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15. Discrete Wavelet Transform (DWT) 2D Image Denoising and Compression
Intermediate
Toolbox: Wavelet Toolbox, Image Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Implement multi-level 2D Discrete Wavelet Transform (DWT) decomposition using Symlet and Daubechies wavelets. Apply Donoho VisuShrink soft thresholding for simultaneous noise reduction and high-ratio data compression.
βοΈ Key MATLAB Functions:
wavedec2waverec2wthreshpsnrdwt2
π Expected Output & Metrics: Peak Signal-to-Noise Ratio (PSNR > 30 dB), Structural Similarity Index (SSIM > 0.92), and 4:1 image compression ratio.
I = im2double(imread('cameraman.tif'));
I_noisy = I + 0.08*randn(size(I));
[c, s] = wavedec2(I_noisy, 2, 'sym4');
sigma = median(abs(c)) / 0.6745;
thr = sigma * sqrt(2 * log(numel(I)));
c_clean = wthresh(c, 's', thr);
I_clean = waverec2(c_clean, s, 'sym4');
fprintf('PSNR Noisy: %.2f dB | PSNR Wavelet Cleaned: %.2f dB\n', ...
psnr(I_noisy, I), psnr(I_clean, I));
figure; imshowpair(I_noisy, I_clean, 'montage');
title('Noisy Input Image (Left) vs Wavelet Cleaned Output (Right)');
Est. Duration: 1β2 Weeks
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16. Cochlear Implant Speech Processing Simulation using CIS Strategy
Advanced
Toolbox: Audio Toolbox, Signal Processing Toolbox
Deliverables: Code .m, Model .slx, Report
π― Problem & Objective: Simulate an 8-to-16 channel Continuous Interleaved Sampling (CIS) bio-signal processing strategy for auditory neuro-prosthetics, extracting instantaneous speech envelopes via Hilbert transform.
βοΈ Key MATLAB Functions:
hilbertbutterfilterdesignfiltsoundsc
π Expected Output & Metrics: 8-channel tonotopic electrode pulse electrodograms, synthesized acoustic vocoder intelligibility evaluation, and spectral envelope plots.
fs = 16000; t = 0:1/fs:1;
speech_in = sin(2*pi*250*t).*(1 + 0.5*sin(2*pi*4*t)) + 0.3*sin(2*pi*1500*t);
bands = round(logspace(log10(300), log10(5500), 9));
vocoded_out = zeros(size(speech_in));
for ch = 1:8
[b, a] = butter(2, [bands(ch) bands(ch+1)]/(fs/2), 'bandpass');
b_sig = filter(b, a, speech_in);
env = abs(hilbert(b_sig));
[b_lp, a_lp] = butter(2, 200/(fs/2), 'low');
env_smooth = filter(b_lp, a_lp, env);
fc = sqrt(bands(ch) * bands(ch+1));
vocoded_out = vocoded_out + env_smooth .* sin(2*pi*fc*t);
end
figure; plot(t(1:800), speech_in(1:800), 'b', t(1:800), vocoded_out(1:800), 'r', 'LineWidth', 1.2);
legend('Original Speech', '8-Channel Vocoded Acoustic Output');
title('Continuous Interleaved Sampling (CIS) Cochlear Vocoder Simulation');
Est. Duration: 3β5 Weeks
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