Question 2: LTI systems theory • Use Matlab to plot the magnitude frequency response of the LTI system described by the
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Question 2: LTI systems theory • Use Matlab to plot the magnitude frequency response of the LTI system described by the
Question 2: LTI systems theory • Use Matlab to plot the magnitude frequency response of the LTI system described by the difference equation y(n) = 0.2c(n) + 0.34r(n - 10). Hint: the frequency response function can be found to be H(W) = 0.2 - 0.34e-10w e C. The angular frequency domain is defined in the region -A <w<. • Find the unit impulse response of the above filter. Call it hi(n), n ez, hi(n) E R. Use M-code to store it in an array. . Find the unit impulse response of two of the above filters connected in cascade he(n) = hi(n)* hi(n) (i.e., output of one filter feeds the input of the second filter). Use Matlab function conu. You can use help conv to obtain instructions at the Matlab prompt. Assume causal sequences (i.e., zero valued initial conditions for convolution). • Find the absolute values of the FFT of he(n). Hint use plot(abs(fftshift (fft (h2)))). • Find the difference equation implementation of an LTI system having impulse response he(n). Write the difference equation implementation using M-code.
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