Electrical and Computer Engineering Homework Solutions

Fourier Analysis

(a) Given the amplitudes indicated in the above diagram, copy and complete the table below for the amplitude of the vibration in the time domain. Sketch the result of your reconstructed waveform in the period 0 < t < 0.1 ms, assuming f0 = 5000 Hz.

DSP :low-pass filter, high-pass filter

What are Digital low-pass filter, high-pass filters?

Calculate the power of an LTI system + probability, power spectral density

Calculate the power of an LTI system + probability, power spectral density Don't know how to compute the the power of an LTI system (see attached file).

Finding the power spectral density

Have a problem with determining the power spectral density of a discrete-time process (see attached file).

Mean, autocorrelation func, and pdf of a Gaussian random process.

Don't know how to determine mean, autocorrelation function, and pdf (see attached file).

Parameters of a white Gaussian noise process

Don't know how to determine parameters for a white Gaussian noise process (see attached file).

'Digital Filtering'- MATCAD problem

Plot the frequency response and the poles and zeroes in each case. Use a sampling frequency of one rad/sec. Compare the filter frequency responses. (see attachment for full question)

'Spectrum Analysis' - MATLAB problem

Create a 16 Hz sinewave in MATLAB using the following code. (see attachment for full question)

Signal Processing

Find and sketch the spectrum of the following signal (Attached) Please explain how to do these types of question

find the cascade and parallel realization of the following z transform

find the cascade and parallel realization of the following z transform: X(z) = (1-z^-1)^3 / (1-0.5z^-1)(1-0.125z^-1)

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