a dsp sample problems
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Sample QuestionsAdvanced Digital Signal Processing
Question Draw the butterfly structure and compute all the values on all the intermediate nodes while computing 4-point FFT of a signal x[n]=[a 0 0 0]
Question Use triangular window to design a causal FIR filter of length 5 and cutoff frequency ωc=π/3, Plot the coefficients of the filter
Question Given 5 point circular convolution of two sequences x[n] and h[n] of length 3 and 3 as y[n] = [8 0 4 12],if x[n] = [1 2 3], find all the possible samples of h[n].
Question For the following two sequences
Determine and sketch 100-point Circular convolution of two sequences.
QuestionFor the following analog response of a filter
a) Find the impulse response of the equivalent Discrete-Time system using bilinear Transformation.
b) Is the Discrete System Low-pass or High-pass? Give rational.
Question of Figure 1 is input to system shown in Figure 2, plot Fourier Transform of signal
at the output of each block of the system for and
2π400
1
Ω2π800-2π800
1
-2π400
Figure 1:
Question Answer the following:
a. Draw magnitude of the frequency response of an ideal Low-pass and Band-stop filters.
b. Compute 4-point DFT of
Question
Answer the following a. Use bit reverse addressing to generate indices of first four input data values for
computing 1024 point FFT of a discrete time signal b. A four point periodic sequence and its DFS are given
and
Compute the DFS of c. Compute the linear convolution of two sequences and of lengths
, 6-point circular convolution and first samples of both the signals are given as , and respectively.
Question Answer the following:
1) Split the signal into L and H components using Haar Wavelets. Re compute the original signal from the two components.
2) Mother wavelet is shown in figure below, draw a drived wavelet
for and
Question Answer the following
a. In a decimation in time 4-point FFT computation, 2-points FFTs are
ADC DAC
T1 T2
Compute b. The 4-point Circular convolution of two 4-point signals is given
as
If find 4-point circular convolution
of the three signals .
QuestionAnswer the following:
1) Derived wavelet for and is given below, draw the mother
wavelet. 2) An interpolation filter for L = 5 has an impulse response of
Draw the poly-phase structure of the filter and compute 1st and 5th interpolated output sample for