State and prove any two properties of z-transform.
[7 marks]Explain Signal classification with examples.
[7 marks]List the advantages and disadvantages of Digital signal processing over Analog signal processing.
[7 marks]Draw Direct form-Iand Direct form-II structures for the system whose system function is, (1−2z−1)(1−4z−1) H(z) =1 z(1− z−1)2
[7 marks]Determine Ztransform of the signal: x[n] = δ(n+1) + 3 δ(n) + 6 δ(n-3) - δ(n-4)
[7 marks]What is ROC in context of Z-transform? List various properties of ROC.
[7 marks]Perform the linear convolution of the following sequences : x (n) = {1, 2, 3, 4, 5 } , x (n) = { -1, 0, 1 }12
[7 marks]Determine impulse response of LTI systems described by the following second order difference equation. y(n) - 3y(n-1) - 4y(n-2) = x(n) + 2 x(n-1)
[7 marks]What is Circular Convolution? How is it different from Linear Convolution? Determine the circular convolution of two sequences, x(n) = cos(πn/2) for n=0, 1, 2, h(n) = 2n for n= 0, 1,
[2 marks]Explain the concept of analog to digital conversion with a neat diagram.
[7 marks]Check the following systems for time invariance and linearity.
[7 marks]y(n) = n[x(n)]2 ii) y(n) = x(n)cos(nπ/4)1
[ marks]Describe IIR filter design by Impulse Invariant method.
[7 marks]Determine Partial Fraction Expansion of (1+z−1) X(z) = (1−z−1 +0.5z−2)
[7 marks]Discuss the key features of the architecture of DSP Processors.
[7 marks]Explain Radix-2 Decimation In Time (DIT) FFT Algorithm.
[7 marks]Explain Multiplier-Accumulator (MAC) hardware in DSP processors.
[7 marks]Derive the criterion for sampling a continuous time signal, using Fourier Transform. Also explain the aliasing effect where the criterion is not followed.
[7 marks]