JNTU B.Tech II SIGNALS AND SYSTEMS Previous Question Paper (February - 2024 - R22)

State the two properties of unit impulse function.

State and explain the Dirichlet’s conditions.

Define exponential Fourier series.

What is the practical use of the Hilbert transform?

What is a convolution of signals?

Final value theorem is for sequence x[n] is given by _________.

Find the Laplace Transform for the signal x(t)= -5e^8t u(t).

Find the Z-transform and ROC for the signal x(n) = aⁿ u(n).

Define autocorrelation.

Define Normalized energy and Energy spectral density.

Prove the Orthogonality condition in the case of a signal represented by orthogonal signal space consisting of exponential functions {e^jnωt} for ‘n’ integer.

Find the odd and even components of the signal cost + sint + cost sint.

A function f(t) is defined rectangular pulse given by: f(t) = 1 for 0 < t < π and -1 for π ≤ t < 2π. Approximate above function by a finite series of Sinusoidal functions.

Define and derive the expression for evaluating mean square errors and its types.

Compute the Fourier transform of each of the following signals: i) (sinπt / πt) ii) (sin2πt / 2πt)

Find the Fourier Transform of the Signum function.

Obtain the Fourier series representation of an impulse train.

Derive the Fourier transform of: i) x(t) = e^-at Sin(ωt)u(t) ii) x(t) = e^-at Cos(ωt)u(t).

Find the convolution of following functions x(t)=1 (-3

The unit impulse response h[n] of a DT LTI system is h[n]=(1/5)ⁿ u[n]. Use convolution to compute the system's response to the input x[n]=u[-n-3].

Explain the characteristics of ideal LPF, HPF and BPF.

Compute the response of an LTI system described by its impulse response.

Derive the relationship between Laplacian transform and Fourier Transforms.

Determine the discrete time sequence associated with Z transform X(z) = (1-(1/2)z^-1) / (1+(1/2)z^-1) with ROC |z| > 1/2 using power series method.

Determine the Laplacian transform and ROC of signal x(t) = -e^-at u(-t).

Find the Z transform and ROC of the sequence x(n) = rⁿ cos(nθ)u(n).

A filter with H(ω) = 1/(1+jω) is given an input x(t) = e^-2t u(t). Find Energy density spectrum of the output.

Determine the convolution by graphical method for y(t)=h(t)*f(t) if h(t)=e^-t u(t) and f(t)= e^-2t u(t).

Determine the Nyquist sampling rate and Nyquist sampling interval for the signals: i) sinc(100πt) ii) sinc²(100πt) iii) sinc(100πt) + sinc(50πt) iv) sinc(100πt) + 3 sinc²(60πt)

Explain Natural and flat-top sampling.