signal processing, Image processing, graphics, random numbers

3.1 Generate and plot one pulse signal of diﬀerent width and amplitude

3.2 Generate and plot train of pulses of diﬀerent width and amplitude

3.3 Find the discrete Fourier transform of a real sequence of numbers

3.4 Generate uniform distributed random numbers

3.5 Obtain Fourier Series coeﬃcients for a periodic function

3.6 Obtain Fourier Series approximation

3.7 Determine and plot the CTFT (continuous time Fourier Transform) for continuous time function

3.8 Determine the DTFT (Discrete time Fourier Transform) for discrete time function

3.9 Determine the Inverse DTFT (Discrete time Fourier Transform)

3.10 Use FFT to display the power spectrum of the content of an audio wav ﬁle

3.11 Plot the power spectral density of a signal

3.12 Display spectrum of 2D image

3.13 Obtain the statistical maximum likelihood estimates (MLE) of probability distributions

3.14 Make a histogram of data sampled from some probability distribution

3.15 apply a ﬁlter on 1D numerical data (a vector)

3.16 apply an averaging Laplacian ﬁlter on 2D numerical data (a matrix)

3.17 How to ﬁnd cummulative sum

3.18 How to ﬁnd the moving average of a 1D sequence?

3.19 How to select N random values from a set of numbers?

3.20 How to sample a sin signal and plot it?

3.21 How ﬁnd the impulse response of a diﬀerence equation?

3.2 Generate and plot train of pulses of diﬀerent width and amplitude

3.3 Find the discrete Fourier transform of a real sequence of numbers

3.4 Generate uniform distributed random numbers

3.5 Obtain Fourier Series coeﬃcients for a periodic function

3.6 Obtain Fourier Series approximation

3.7 Determine and plot the CTFT (continuous time Fourier Transform) for continuous time function

3.8 Determine the DTFT (Discrete time Fourier Transform) for discrete time function

3.9 Determine the Inverse DTFT (Discrete time Fourier Transform)

3.10 Use FFT to display the power spectrum of the content of an audio wav ﬁle

3.11 Plot the power spectral density of a signal

3.12 Display spectrum of 2D image

3.13 Obtain the statistical maximum likelihood estimates (MLE) of probability distributions

3.14 Make a histogram of data sampled from some probability distribution

3.15 apply a ﬁlter on 1D numerical data (a vector)

3.16 apply an averaging Laplacian ﬁlter on 2D numerical data (a matrix)

3.17 How to ﬁnd cummulative sum

3.18 How to ﬁnd the moving average of a 1D sequence?

3.19 How to select N random values from a set of numbers?

3.20 How to sample a sin signal and plot it?

3.21 How ﬁnd the impulse response of a diﬀerence equation?