Cross-correlation, auto-correlation, cross-covariance, correlation coefficient matrix, convolution, deconvolution, covariance

• 98 Computing cross-correlation, auto-correlation, cross-covariance, correlation coefficient matrix, convolution, covariance

Spec: Cross-covariance: Find pattern in audio signals 1 and 2. The pattern and both signals have different sample rates. Autocorrelation: Fit model to noisy signal and evaluate quality of the fit by prooving that residuals are uncorrelated. Cross-covariance: Find periodicity in data using cross-covariance. Correlation coefficient: Evaluate correlation between time when measurements have been acquired and measured values. Convolution: Multiply polynomials using convolution. Covariance: Extract covariance from big data using mapreduce.

Language: Matlab (Signal Processing Toolbox).

• 99 Signal deconvolution using FFT (fast Fourier transform)

Spec: Divide polynomials using deconvolution.

Language: Matlab (Signal Processing Toolbox).

FIR (finite impulse response) & IIR (infinite impulse response) filter design

• 100 Designing low-pass/high-pass/band-pass/band-stop FIR filter

Spec: Design low-pass FIR filter with minimal order.

Language: Matlab (Signal Processing Toolbox).

• 101 Designing low-pass/high-pass/band-pass/band-stop IIR filter

Spec: Design low-pass IIR filter of four types - Butterworth, Chebyshev TypeI, Chebyshev TypeII, Elliptic.

Language: Matlab (Signal Processing Toolbox).

Compensating for delay introduced by filter

• 102 Compensating for delay introduced by FIR filter processing ECG signal

Spec: Remove delay introduced by FIR filter processing ECG signal.

Language: Matlab (Signal Processing Toolbox).

• 103 Compensating for delay introduced by IIR filter processing ECG signal

Spec: Remove delay introduced by IIR filter processing ECG signal.

Language: Matlab (Signal Processing Toolbox).

Digital filtering (shaping signal spectrum in desired way), resampling signal (multirate signal processing) using filter

• 104 Denoising & resampling audio signal

Spec: Remove high-frequency noise and power-line artifact from audio signal.

Language: Matlab (Signal Processing Toolbox).

• 129 Detecting P/QRS/T waves from ECG signal using LSTM

Spec: Integrate signal processing (spectrogram, filtering) and recurrent neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

Differentiating & integrating signal using filter

• 105 Differentiating & integrating accelerometer readings using FIR filters

Spec: Build differentiator & integrator using FIR filters.

Language: Matlab (Signal Processing Toolbox).

Data & signal preprocessing using smoothing and eliminating outliers

• 106 Data smoothing & eliminating outliers using moving rectangular window, moving Gaussian window, linear/quadratic regression window, Savitzky-Golay filter

Spec: Smooth data using three filters - moving rectangular window, moving Gaussian window, Savitzky-Golay filter. Eliminate outliers in data using regression window.

Language: Matlab (Signal Processing Toolbox).

Adaptive LMS (least mean squares) / RLS (recursive least squares) filter

• 107 System identification, inverse system identification, adaptive noise cancellation, predicting future values of periodic signal using adaptive LMS/RLS filter

Spec: Remove frequency-modulated noise using LMS. Remove tone noise using LMS. Adaptive noise cancellation using RLS.

Language: Matlab (Signal Processing Toolbox, Embedded/DSP System Toolbox).

• 21 Adaptive cancellation of uterine-activity artifact in fetal heart signal

Spec: First sensor provides mixture of wanted signal and unwanted noise1. Second sensor provides noise2 correlated with noise1. Extract wanted signal.

Language: Matlab (Signal Processing Toolbox, Embedded/DSP System Toolbox, System Identification Toolbox).

Kalman filter

• 22 Estimating distance & velocity of sonar target using Kalman filter

Spec: Fuse distance & velocity (of moving object) computed by sonar with Kalman filter.

Language: Matlab (Signal Processing Toolbox, Embedded/DSP System Toolbox).

Spectral estimation using periodogram of windowed stationary signal

• 108 Spectral estimation when leakage is more important than resolution

Spec: Detect weak signal in the background of strong one.

Language: Matlab (Signal Processing Toolbox).

• 109 Spectral estimation when resolution is more important than leakage

Spec: Distinguish two tone signals that have close frequencies.

Language: Matlab (Signal Processing Toolbox).

Time-frequency analysis of non-stationary signal using spectrogram

• 61 Speech recognition using CNN

Spec: Integrate signal processing (spectrogram) and convolutional neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

• 128 Speech denoising using fully-connected and convolutional NN

Spec: Integrate signal processing (spectrogram) and feedforward NN

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Audio System Toolbox).

• 65 Detecting arrhythmia from ECG signal using LSTM

Spec: Integrate signal processing (instantaneous frequency & spectral entropy) and recurrent neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

• 129 Detecting P/QRS/T waves from ECG signal using LSTM

Spec: Integrate signal processing (spectrogram, filtering) and recurrent neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

• 66 Speech recognition using LSTM

Spec: Integrate signal processing (spectrogram) and recurrent neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

Measuring signal power

• 117 Measuring signal power using Parceval

Spec: Measure signal power in time and frequency domains.

Language: Matlab (Signal Processing Toolbox).

Measuring harmonic distortion of weakly nonlinear system

• 110 Measuring harmonic distortion of weakly non-linear system

Spec: For nearly-linear system, evaluate SFDR (spusious-free dynamic range), THD (total harmonic distortion), SNR (signal-to-noise ratio) and SINAD (signal-to-noise-and-distortion ratio).

Language: Matlab (Signal Processing Toolbox).

Detecting peaks, delay, envelope and instantaneous frequency of signal, finding abrupt changes in signal

• 111 Detecting peaks, delay, envelope and instantaneous frequency of signal, finding abrupt changes in signal

Spec: Find location & value of peaks on waveform. Measure amplitude of maxima & minima on ECG signal. Find peaks of interest on the signal using thresholding. Synchronize signals acquired by spatially-distributed accelerometers. Compute envelope of narrow-band signal using Hilbert transform. Compute instantaneous frequency of chirp signal using Hilbert transform. Compute instantaneous frequency of sum of two sinusoids using spectrogram.

Language: Matlab (Signal Processing Toolbox).

Finding pattern in signal using similarity matching & time stretching

• 112 Finding pattern in signal using similarity matching & time stretching

Spec: Find letters in hand-written words using similarity matching. Find words in spoken phrases using time-stretching.

Language: Matlab (Signal Processing Toolbox).

Projects that cover all signal processing topics

• 12 Computing velocities of sonar targets using parfor-loop & SPMD (single-program multiple-data)

Spec: Benchmark CPU vs multi-CPU using various parallel techniques.

Language: Matlab (Signal Processing Toolbox, Parallel Computing Toolbox).

• 13 Detecting maternal heart rate & uterine activity using parallel function evaluation

Spec: Build multi-threaded version of application from single-threaded one.

Language: Matlab (Signal Processing Toolbox, Parallel Computing Toolbox).

• 15 Computing mean length of sonar target using mapreduce

Spec: Extract data from big file using mapreduce.

Language: Matlab (Signal Processing Toolbox, Big Data functions).

• 03 Extracting classification features from fetal heart rate waveform and classifying fetal clinical condition

Spec: Integrate signal processing and machine learning.

Language: Python (Scikit-learn), Matlab (Machine Learning Toolbox, Signal Processing Toolbox).

• 16 Compensating for delay introduced by IIR filter while processing uterine activity signal

Spec: Remove delay caused by IIR filter in streaming mode.

Language: Matlab (Signal Processing Toolbox, Embedded/DSP System Toolbox).

• 17 Fetal heart rate, maternal heart rate & uterine activity detection in background of noise, motion and uterine activity artifacts

Spec: Estimate parameters of signals acquired by multiple sensors in the background of strong artifacts.

Language: Matlab (Signal Processing Toolbox, Embedded/DSP System Toolbox).

Audio

• 127 Speaker gender detection using LSTM

Spec: Integrate signal processing (extract voice features) and recurrent neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Audio System Toolbox).

• 128 Speech denoising using fully-connected and convolutional NN

Spec: Integrate signal processing (spectrogram) and feedforward NN

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Audio System Toolbox).

• 61 Speech recognition using CNN

Spec: Integrate signal processing (spectrogram) and convolutional neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

• 66 Speech recognition using LSTM

Spec: Integrate signal processing (spectrogram) and recurrent neural network.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox, Signal Processing Toolbox).

• 104 Denoising & resampling audio signal

Spec: Remove high-frequency noise and power-line artifact from audio signal.

Language: Matlab (Signal Processing Toolbox).

• 03 Extracting classification features from fetal heart rate waveform and classifying fetal clinical condition

Spec: Integrate signal processing and machine learning.

Language: Python (Scikit-learn), Matlab (Machine Learning Toolbox, Signal Processing Toolbox).

• 06 Adaptive noise cancellation of fetal heart signal using RICA

Spec: Investigate RICA for adaptive noise cancellation.

Language: Matlab (Machine Learning Toolbox).

• 09 Fetal heart signal recognition using shallow time-series NN

Spec: Build, train & validate shallow recurrent network to classify waveform.

Language: Python (Keras-Tensorflow), Matlab (Deep Learning & Neural Networks Toolbox).

• 17 Fetal heart rate, maternal heart rate & uterine activity detection in background of noise, motion and uterine activity artifacts

Spec: Estimate parameters of signals acquired by multiple sensors in the background of strong artifacts.

Language: Matlab (Signal Processing Toolbox, Embedded/DSP System Toolbox).

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