MAKAUT Signals and System (EC-303) PYQ 2025 with Solutions

Q: What is the subject code for Signals and System?

EC-303 is the MAKAUT subject code for Signals and System.

Q: Which exam is this Signals and System question paper from?

The MAKAUT 2025 Mid Sem exam, semester 3. A student shared it, and it was checked before publishing.

Q: Which branches is this Signals and System paper for?

B.Tech Electronics and Communication Engineering.

Q: Are there solutions for this paper?

Yes. Every question in the 2025 Signals and System paper has a worked answer on this page, grouped like the paper. The first answer is free to read; sign in (it's free) to unlock the rest.

About this paper

The MAKAUT Signals and System (EC-303) 2025 Mid Sem previous year question paper, set in semester 3. Download the verified PDF or read it online, then check your answers against the worked solutions above.

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Electronics and Communication Engineering

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Frequently asked questions

5 questions

What is the subject code for Signals and System?

EC-303 is the MAKAUT subject code for Signals and System.

Which exam is this Signals and System question paper from?

The MAKAUT 2025 Mid Sem exam, semester 3. A student shared it, and it was checked before publishing.

Which branches is this Signals and System paper for?

B.Tech Electronics and Communication Engineering.

Where can I find more EC-303 question papers?

On the Signals and System subject page, which collects every year's papers along with notes and the syllabus.

Are there solutions for this paper?

Yes. Every question has a worked answer on this page, grouped like the paper. The first answer is free to read; sign in (it's free) to unlock the rest.

Solutions

Group AVery Short Answer Type Question · answer any 10 · 1 mark each

Convolution is

The Fourier series of a real, even, periodic signal will contain only

Z transform of δ(n+2)\delta(n+2)δ(n+2) is

Spectral overlapping can be termed as

The power signal has

Which of the following system, described by its impulse response h(n), is causal

The Fourier transform of unit step function is given by

Laplace transform of x(t)=δ(t)−u(t)x(t)=\delta(t)-u(t)x(t)=δ(t)−u(t) is

Flat top sampling leads to

What is width of the signal, x(t)=u(t)−u(t−3)?x(t)=u(t)-u(t-3)?x(t)=u(t)−u(t−3)?

What will be the convolution of u(n)u(n)u(n) and δ(n−3)\delta(n-3)δ(n−3)?

The frequency response of a system with h(n)=δ(n)−δ(n−1)h(n)=\delta(n)-\delta(n-1)h(n)=δ(n)−δ(n−1) will be

Group BShort Answer Type Question · answer any 3 · 5 marks each

Impulse response of a system is given as h(n)=(1/2)nu(n−1).h(n)=(1/2)^{n}u(n-1).h(n)=(1/2)nu(n−1). Comment on the stability and causalty of the system.

Determine and sketch the magnitude and frequency response of the system given below: y(n)=(1/2)[x(n+1)−x(n−1)]y(n)=(1/2)[x(n+1)-x(n-1)]y(n)=(1/2)[x(n+1)−x(n−1)]

Evaluate y(t)=exp(at)∗exp(bt)y(t)=exp(at)^{*}exp(bt)y(t)=exp(at)∗exp(bt) using the Laplace transform technique.

Explain the zero-order-hold Interpolation with the help of a proper diagram.

Consider an LTI system with frequency response H(w)=1/(3+jw)H(w)=1/(3+jw)H(w)=1/(3+jw) for a particular input x(t). The system produces the output, y(t)=exp(−3t)u(t)−exp(−4t)u(t).y(t)=exp(-3t)u(t)-exp(-4t)u(t).y(t)=exp(−3t)u(t)−exp(−4t)u(t). Find out x(t)x(t)x(t).

Group CLong Answer Type Question · answer any 3 · 15 marks each

A system is described by the equation given below: y(n)=x(n).cos(w0n)y(n)=x(n).cos(w_{0}n)y(n)=x(n).cos(w0​n) Comment on the time invariability and causality of the system.

Define power signal. Find out the power of the signal x(n)=A.exp(jw0n)x(n)=A.exp(jw_{0}n)x(n)=A.exp(jw0​n) where A is a constant.

How can you represent any arbitrary signal x(t)x(t)x(t) into odd and even component? Give an example of an even signal with mathematical expression and sketch.

Write down the sampling theorem. Draw a message signal, equivalent sampled signal and their spectrum. Mention one sampling method in brief.

Consider x1(t)=cos(20πt)x_{1}(t)=cos(20\pi t)x1​(t)=cos(20πt) and x2(t)=cos(100πt)x_{2}(t)=cos(100\pi t)x2​(t)=cos(100πt) which are sampled at Fs=40Fs=40Fs=40 Hz. Find out the corresponding discrete time signal. Is there any aliasing present in any of the discrete time signal?

Find out the Nyquist sampling rate for sin2(200πt)sin^{2}(200\pi t)sin2(200πt).

Find out the transfer function and the impulse response of a causal LTI system described by the differential equation: d2y(t)dt2+2dy(t)dt+y(t)=dx(t)dt−2x(t)\frac{d^{2}y(t)}{dt^{2}}+2\frac{dy(t)}{dt}+y(t)=\frac{dx(t)}{dt}-2x(t)dt2d2y(t)​+2dtdy(t)​+y(t)=dtdx(t)​−2x(t)

Calculate the z-transform of the signal x(n)=nanu(n)x(n)=na^{n}u(n)x(n)=nanu(n).

Find out the inverse z-transform of the following: X(z)=1(1+z−1)(1+z−1)2X(z)=\frac{1}{(1+z^{-1})(1+z^{-1})^{2}}X(z)=(1+z−1)(1+z−1)21​

State and prove the Parseval's theorem.

If x(t) and the X(w) form a Fourier pair, then what will be the Fourier transform of x(-t)? (i) when x(t) is odd signal (ii) when x(t) is even signal

Find out the inverse Fourier transform of the following: X(w)=1/(a+jw)2X(w)=1/(a+jw)^{2}X(w)=1/(a+jw)2

What is the difference between DTFT and DFT?

Why DFT is used in signal processing? Comment on the periodicity of X(K) which is the DFT of x(n).

Find out the DFT of a discrete time signal x(n)=(1,2,3,4)x(n)=(1,2,3,4)x(n)=(1,2,3,4).

Find out the magnitude and phase spectrum of x(n). Sketch the spectrum.

About this paper

Why solve Signals and System PYQs?

Frequently asked questions

What is the subject code for Signals and System?

Which exam is this Signals and System question paper from?

Which branches is this Signals and System paper for?

Where can I find more EC-303 question papers?

Are there solutions for this paper?

Have notes or the answer key for Signals and System?

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Z transform of $\delta(n+2)$ is

Laplace transform of $x(t)=\delta(t)-u(t)$ is

What is width of the signal, $x(t)=u(t)-u(t-3)?$

What will be the convolution of $u(n)$ and $\delta(n-3)$ ?

The frequency response of a system with $h(n)=\delta(n)-\delta(n-1)$ will be

Impulse response of a system is given as $h(n)=(1/2)^{n}u(n-1).$ Comment on the stability and causalty of the system.

Determine and sketch the magnitude and frequency response of the system given below: $y(n)=(1/2)[x(n+1)-x(n-1)]$

Evaluate $y(t)=exp(at)^{*}exp(bt)$ using the Laplace transform technique.

Consider an LTI system with frequency response $H(w)=1/(3+jw)$ for a particular input x(t). The system produces the output, $y(t)=exp(-3t)u(t)-exp(-4t)u(t).$ Find out $x(t)$ .

A system is described by the equation given below: $y(n)=x(n).cos(w_{0}n)$ Comment on the time invariability and causality of the system.

Define power signal. Find out the power of the signal $x(n)=A.exp(jw_{0}n)$ where A is a constant.

How can you represent any arbitrary signal $x(t)$ into odd and even component? Give an example of an even signal with mathematical expression and sketch.

Consider $x_{1}(t)=cos(20\pi t)$ and $x_{2}(t)=cos(100\pi t)$ which are sampled at $Fs=40$ Hz. Find out the corresponding discrete time signal. Is there any aliasing present in any of the discrete time signal?

Find out the Nyquist sampling rate for $sin^{2}(200\pi t)$ .

Find out the transfer function and the impulse response of a causal LTI system described by the differential equation: $\frac{d^{2}y(t)}{dt^{2}}+2\frac{dy(t)}{dt}+y(t)=\frac{dx(t)}{dt}-2x(t)$

Calculate the z-transform of the signal $x(n)=na^{n}u(n)$ .

Find out the inverse z-transform of the following: $X(z)=\frac{1}{(1+z^{-1})(1+z^{-1})^{2}}$

Find out the inverse Fourier transform of the following: $X(w)=1/(a+jw)^{2}$

Find out the DFT of a discrete time signal $x(n)=(1,2,3,4)$ .