ISRO EC 2018:Signal & System Booster Quiz 2

Eye diagram gives us an idea of

What is 4 point Discrete Fourier Transform of signal x(n) = ( 1, 2, 3, 4 )

The rectangular window has relative side-lobe level :

The Fourier Transform of a discrete and aperiodic signal is

Consider a sequence x(n) = [2, 4, 6, 8, 0, 1, 3, 5, 7, 9]. Down-sample the sequence by 3 and then up-sample by 2. The resulting sequence is :

Two ideal quantizers A abnd B have following specifications :
A- 5 bit quantizer with input dynamic range of – 1 V to +1 V with Q1 as quantization noise power
B- 8 bit quantizer with input dynamic range of – 0.5 V to +0.5 V with Q2 as quantization noise power
Then Q1/Q2 will be