SP.15) Which type of programming is typically used for digital signal processors?
(a) Assembly language
(b) Machine language
(c) C
(d) None of the above
Answer is (a)
SP.16)Which Filters have the characteristic to be best suited for filtering pulse waveforms
(a)Butterworth
(b)Chebhyshev
(c)Bessel
(d) none of above
Answer is (c)
SP.17) Which of the following is the first method proposed for design of FIR filters?
(a) Chebyshev approximation
(b) Frequency sampling method
(c) Windowing technique
(d) None of these
Answer is (c)
SP.18)For an N-point FFT algorithm with N=2^m , which one of the following statement is TRUE?
(a)It is not possible to construct a signal flow graph with both input and output in normal order
(b)The number of butterflies in the m-th state is N/m
(c)In-place computation requires storage of only 2N node data
(d)Computation of a butterfly requires only one complex multiplication
Answer is (d)
SP.19)The correct expression for transition band Δf is
(a) (ωp- ωs)/2π
(b) (ωp+ωs)/2π
(c) (ωp.ωs)/2π
(d) (ωs- ωp)/2π
Answer is (d)
SP.20) Which of the following condition is true?
(a)$ N \geq \frac{\log\frac{1}{k}}{\log\frac{1}{d}}$
(b)$ N \geq \frac{\log k}{\log d}$
(c)$ N \geq \frac{\log d}{\log k}$
(d)$ N \geq \frac{\log\frac{1}{d}}{\log\frac{1}{k}}$
Answer is (d)
SP.21) Which of the following defines a chebyshev polynomial of order N, Tn(x)?
(a) cos(Ncos-1x) for all x
(b) cosh(Ncosh-1x) for all x
(c) cos(Ncos-1x), |x|≤1
cosh(Ncosh-1x), |x|>1
(d) None of these
Answer is (c)
SP.22) Two rectangular waveform of duration T1 and T2 seconds are convolved.What is the shape of resulting waveform?
(a) Triangular
(b) Rectangular
(c) Trapezoidal
(d) semi-circular
Answer is (a)
SP.23) The impulse response of an LTI system is a rectangular pulse of duration T.It is excited by an input of a pulse duration T.What is the filter output waveform?
(a) Rectangular pulse of duration T
(b) Rectangular pulse of duration 2T
(c) Triangular pulse of duration T
(d) Triangular pulse of duration 2T
Answer is (c)
SP.24) IIR Filters are
(a) recursive
(b) non-recursive
(c) reversible
(d) non-reversible
Answer is (a)
SP.25) The ROC of z-transform of the discrete time x[n]=(0.5)^|n| is
(a)$ 0.5<|z|<2 $
(b)$ |z|>2$
(c)$-2<|z|<$
(d)$|z|<0.5$
Answer is (a) $x[n] = (0.5)^{|n|}=(0.5)^{n}u[n]+(0.5)^{-n} u[-n-1]$
$x[n]= \sum_{-\infty}^{\infty}x[n]z^{-n}$
$= \sum_{-\infty}^{\infty}(0.5)^{-n}z^{-n}u[-n-1] + \sum_{-\infty}^{\infty}(0.5)^{n}z^{-n}u[n]$
$= \sum_{-\infty}^{-1}(0.5)^{-n}z^{-n} + \sum_{0}^{\infty}(0.5)^{n}z^{-n}$
$= \sum_{1}^{\infty}(0.5)^{n}z^{n} + \sum_{0}^{\infty}(0.5)^{n}z^{-n}$
$= \frac{0.5z}{1-0.5z}+\frac{1}{1-0.5z^{-1}}$
I st term converges only if $|0 .5z|< 1 or |z|<2$
II nd term converges only if $|0.5z^{-1}|<1 or |z|>1/2$
SP.26) Transition band is more in
(a) Butterworth filter
(b) Chebyshev type I
(c) Chebyshev type II
(d) FIR filter
Answer is (a)
SP.27) What is the value of Chebyshev Polynomial of degree 3 ?
(a)$3x^{3}+4x$
(b)$3x^{3}-4x$
(c)$4x^{3}+3x$
(d)$4x^{3}-3x$
Answer is (d)
SP.28) The Fourier Transform of signal u(t)
(a)$\pi\delta(\omega)$
(b)$\frac{1}{j\omega}$
(c)$\pi\delta(\omega)+\frac{1}{j\omega}$
(d)none of these
Answer is (c)
