Determine the Nyquist sampling frequency and Nyquist interval for the signal,1 x ( t ) s i n 2 0 t 0 t2 03 .
[ marks]Compare the direct form and linear phase structures of an Nth order FIR system.
[4 marks]What is Digital Signal Processing? List the unique architectural features of DSP processors.
[7 marks]In an LTI system the impulse response h ( n ) Cn for n 0 . Determine the range of values of C03 , for which the system is stable.
[ marks]List the properties of Butterworth lowpass filters.
[4 marks]Using z-transform, perform deconvolution of response y ( n ) 2 , 5 , 5 , 2 , 1 and impulse response h ( n ) 1 , 1 , 1 , to extract the input x ( n )07 .
[ marks]Explain the decimation and interpolation process with an example.
[7 marks]Find the z-transform of eanT u(n).
[3 marks]Determine the regions of convergence of right-sided, left-sided, infinite-duration two-sided and finite-duration two-sided sequences.
[4 marks]Determine the impulse response h(n)for the system described by the second order difference equation, y ( n ) 4 y ( n 1 ) 4 y ( n 2 ) x ( n 1 ) .07
[ marks]List the application of an adaptive filter. Briefly explain any one of it.
[3 marks]What do you mean by frequency wrapping?
[4 marks]Discuss design steps of IIR filter using bilinear transformation.
[7 marks]What are the factors that influence the choice of structure for realization of an LTI system?
[3 marks]Find the Fourier transform of, x(n)anu(n1),where a 1,
[4 marks]Discuss in brief: Radix-2 Decimation-in-Time FFT algorithms.
[7 marks]What is Gibbs phenomenon?
[3 marks]State and prove, the property “Differentiation in frequency domain” for Fourier Transform of discreate time signals.
[4 marks]Compute circular convolution of the following two sequences using DFT.2 x ( n ) 1 , 0 .5 and h ( n ) { 0 .5 , 1 }07 .
[ marks]With block diagram explain the element of digital signal processing system.
[3 marks]Test the causality of the given systems. i. y ( n ) x ( n 2 ) ii. y ( n ) n x ( n )04
[ marks]Determine the z-transform and ROC of discreate time signal given by, x ( n ) 0 . 5 n u ( n ) 0 . 8 n u ( n 1 )07 .
[ marks]What is up sampling and down sampling? Give one application of that.
[3 marks]Determine whether following signals are periodic or not. If periodic find the fundamental period. i. x ( n ) e j7 n ii. x ( n ) c o s n8 04
[ marks]Find the inverse Fourier transform of the frequency response of first order system H ( e j ) (1 a e j ) 1 07
[ marks]