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Higher Study | Signals and Systems

Introduction To Signals and Systems Linear Time Invariant Systems Sampling Z Transform Discrete Time Signals and Systems Fourier Transform Digital Filters Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS) Fourier Series
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is
when is a function f[n] said to be left-sided?
In VHF spectrum Analyzer, two types of frequency instabilities which will cause difficulties when narrow frequency range are displayed are known as (a) Short-term instability (b) Phase-noise (c) Correlation-noise (d) Long-term instability Choose the correct option
Calculate the minimum sampling rate to avoid aliasing when a continuous-time signal is given by x(t) = 5 cos 400πt
Determine whether the following statements are true or false with respect to Pulse Amplitude Modulation.  a) Instantaneous sampling of the message signal m(t) every Ts second, where the sampling rate fs = 1/Ts is chosen in accordance of the sampling theorem.  b) Lengthening the duration of each sample obtained to some constant value T. 
A system is defined by its input relationship y(t) = 2x(t + 2) + 2 where y(t) and x(t) are the output and the input of the system, respectively. The system is
Consider a signal x(t) as shown in the figure here. Plot the graph of x(-2t + 3) (where ‘t’ indicates continuous time domain)
A signal x(t) follows the following property: x(t +T) = x(t) for all t, where T is a positive non zero value, The signal x(t) classified as:
The output y(n) of a system T(.) to the input x(n) is given as y(n) = T(x(n)) = x(a0n). Where a0 is a positive integer not equal to 1. This system is
Consider the system with following input-output relation \(y\left[ n \right] = \left[ {1 + {{\left( { - 1} \right)}^n}} \right]x\left[ n \right]\) where, x[n] is the input and y[n] is the output. The system is
Let y[n] = x[n] ∗ h[n], where ∗ denotes convolution and x[n] and h[n] are two discrete time sequences. Given that the z-transform of y[n] is Y(z) = 2 + 3z-1 + z-2, the z-transform of p[n] = x[n] ∗ h[n − 2] is
An IIR filter having numerator order M and denominator order N is to be realized using direct form II structure. How much total number of multiplications, additions and memory locations are required respectively ?
Identify the nature of the signal shown in the given image.
The mathematical model of the above shown signal is
The given figure shows the pole zero pattern of a filter in the S-plane. The Filter in question is a
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