Explain sampling theorem in detail.
[3 marks]Classify discrete time systems with respective supportive details.
[4 marks]Perform the circular convolution of two sequence x (n) = {1,3,5,3} and x (n) ={2,3,1,1}12
[7 marks]Check the time variance of given systems. 1. y(n) = x(n) cosw n 2. y(n) = x(n) u(n)0
[3 marks]Check the linearity of given systems. 1. y(n) = x(n) cosw n 2. y(n) = x(n) u(n)0
[4 marks]Determine r (l) and r (l) of given sequences. xy yx x(n) = {-3, -2, 1, 4, 8, -3} y(n) = {1, 1, 1, -1, 2, -2} ↑ ↑
[7 marks]Determine zero input response of system described by homogeneous second order difference equation y(n) - 3 y(n-1) - 4 y(n-2) = 0.
[7 marks]State and explain initial and final value theorem in Ztransformation.
[3 marks]Derive the Ztransformation for x(n) = an (sinw n) u(n)0
[4 marks]Determine inverse Ztransformation by power series expansion method. 0 X(z) =1/(1 -1.5 z -1 +0.5 z -2) For ROC ǀzǀ >1 and ROC ǀzǀ <0.5
[7 marks]Determine causality of the given systems. 1. x(n) = x(n-5) 2. x(n) = x(n+5) 3. x(n) = x(-n)
[3 marks]Determine Ztransformation of Signal x(n) = n an u(n)
[4 marks]List out the properties of Ztransformation with suitable detail.
[7 marks]Compute the DFT of sequence x(n) = 1/3 (for 0 ≤ n ≤ 2 and zero elsewhere)
[3 marks]Explain impulse invariance method.
[4 marks]Explain linear phase FIR structure with necessary sketch and derivations.1
[7 marks]Compute the DFT of sequence x(n) = {1, 0, 0, 1} ↑
[3 marks]Explain bilinear transformation method.
[4 marks]Explain lattice structure for IIR system with necessary sketch and derivations.
[7 marks]Detrmine the IDFT of X[k] = {2, 1+j, 0, 1-j}
[3 marks]Explain parseval's theorem for DFT.
[4 marks]Enumerate 8 point decimation in time FFT algorithm.
[7 marks]Explain time reversal of a sequence in DFT.
[3 marks]Explain symmetry properties of DFT for real and odd as well as real and even sequences.
[4 marks]Enumerate 8 point decimation in frequency FFT algorithm.
[7 marks]