digital signal processing problem

the problem(4-11) is from the third edition of digital signal processing(proakis+manolakis) 4-11 consider the signal x(n)={1,0,-1,2,3} | with fourier transform X(w)=Xreal(w)+j(Xi(w)). Determine and represent the signal y(n) that its fourier transform is Y(w)=Xi(w)+Xreal(w)e^exp(j2w)

Digital Signal Processing

(a) Design a lowpass FIR digital filter using "remez" routime in Matlab for the following specifications: filter duration = 15 (order 14), passband = [0.0, 0.4], stopband = [0.6, 1.0], sampling rate = 2.0, magnitude desired = [2.0, 0.0] (passband, stopband), equal weight of deviation. List any noticeable features that you observe about the filter coefficients. (b) Remove even samples in the filter obtained in (a) and plot the resulting frequency response.

Past Exam Paper

I need a solution to the whole 2004 'Analog Signal Processing' exam paper. Thanks in advance (See attached file for full problem description)

Spectrum

(See attached file for full problem description) --- A signal x(t) of finite energy is applied to a square-law device whose output y(t) is given by y(t) = x2(t) The spectrum of x(t) is limited to the frequency interval -W ≤ f ≤ W. Show that the spectrum of y(t) is limited to -2W ≤ f ≤ 2W. (Hint: Express y(t) as x(t) multiplied by itself.) ---

Probability and Signal Analysis Past Exam

I need solutions to all eight questions in last years exam paper! (See attached file for full problem description)