GATE ECE 2015 Set 3 | Transmission of Signal Through Discrete Time Lti Systems Question 3 | Signals and Systems

Consider a four-point moving average filter defined by the equation $$y[n] = \sum\limits_{i = 0}^3 {{\alpha _i}x[n - i]} $$. The condition on the filter coefficients that results in a null at zero frequency is

$${\alpha _1} = {\alpha _2} = 0;\,{\alpha _0} = - {\alpha _3}$$

$${\alpha _1} = {\alpha _2} = 1;\,{\alpha _0} = - {\alpha _3}$$

$${\alpha _0} = {\alpha _3} = 0;\,{\alpha _1} = {\alpha _2}$$

$${\alpha _1} = {\alpha _2} = 0;\,{\alpha _0} = {\alpha _3}$$

Questions Asked from Marks 1

GATE ECE 2024 (1) GATE ECE 2015 Set 3 (1)

GATE ECE Subjects

Signals and Systems

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics