Signals and Systems
Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Continuous and Discrete Time Signals
Marks 1Marks 2
Continuous Time Signal Fourier Transform
Marks 1Marks 2
Continuous Time Periodic Signal Fourier Series
Marks 1Marks 2Marks 5
Discrete Time Signal Z Transformation
Marks 1Marks 2
Miscellaneous
Marks 2
Continuous Time Signal Laplace Transform
Marks 1Marks 2
Sampling Theorem
Marks 1Marks 2
1
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67

Let an input x(t) = 2 sin(10$$\pi$$t) + 5 cos(15$$\pi$$t) + 7 sin(42$$\pi$$t) + 4 cos(45$$\pi$$t) is passed through an LTI system having an impulse response,

$$h(t) = 2\left( {{{\sin (10\pi t)} \over {\pi t}}} \right)\cos (40\pi t)$$

The output of the system is

A
$$2\sin (10\pi t) + 5cos(15\pi t)$$
B
$$5\cos (15\pi t) + 7sin(42\pi t)$$
C
$$7\sin (42\pi t) + 4cos(45\pi t)$$
D
$$2\sin (10\pi t) + 4cos(45\pi t)$$
2
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Suppose x1(t) and x2(t) have the Fourier transforms as shown below. GATE EE 2016 Set 1 Signals and Systems - Continuous Time Signal Fourier Transform Question 10 English Which one of the following statements is TRUE?
A
x1(t) and x2(t) are complex and x1(t)x2(t) is also complex with nonzero imaginary part
B
x1(t) and x2(t) are real and x1(t)x2(t) is also real
C
x1(t) and x2(t) are complex but x1(t)x2(t) is real
D
x1(t) and x2(t) are imaginary but x1(t)x2(t) is real
3
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider a signal defined by $$$x\left(t\right)=\left\{\begin{array}{l}e^{j10t}\;\;\;for\;\left|t\right|\leq1\\0\;\;\;\;\;\;\;for\;\;\left|t\right|>1\end{array}\right.$$$ Its Fourier Transform is
A
$$\frac{2\sin\left(\omega-10\right)}{\omega-10}$$
B
$$2e^{j10}\frac{\sin\left(\omega-10\right)}{\omega-10}$$
C
$$\frac{2\sin\left(\omega\right)}{\omega-10}$$
D
$$e^{j10\omega\frac{2\sin\omega}\omega}$$
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A 10 kHz even-symmetric square wave is passed through a bandpass filter with centre frequency at 30 kHz and 3 dB passband of 6 kHz. The filter output is
A
a highly attenuated square wave at 10 kHz
B
nearly zero.
C
a nearly perfect cosine wave at 30 kHz.
D
a nearly perfect sine wave at 30 kHz.
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement