Hamming window and zero padding, Electrical Engineering

This question investigates the effect of extending the data set with zero-padding & of the appropriate time in the workflow to apply a window function. To get finer resolution in the frequency domain, the original signal can be zero-padded, that is, zeros appended to the end of the time-domain signal. 

Consider an input signal consisting of a strong 100 Hz sine wave & a weak 184.25 Hz signal & some weak noise. This is given by:

1492_Gaussian distributed random signal.png

with f1= 100hz  & f2 = 184.25hz the noise n(t) is a Gaussian distributed random signal with zero mean & unity variance.

This signal is sampled at a frequency of 1 kHz and 64 samples are available. Derive the PSD of the data set & plot on a decibel scale as specified below:

a)  using the data set without zero padding.

b)  using the data set extended to 512 points by zero-padding.

c)  using the extended data set modified by a Hamming window.

d)  using the original 64 point data set modified by a Hamming window but then extended to 512 points by zero-padding. 

You should therefore produce 4 sets of graphs corresponding to questions a-d - each set consisting of a magnitude-time & db-frequency pair.

Comment on your results as to which process 'pulls out' the best results from the FFT process.

Repeat this question using other common windows (von Hann, Blackman, Blackman-Harris, Nuttall) and using different zero-padding lengths.

What are the overall conclusions from this exercise?

Posted Date: 3/16/2013 3:01:10 AM | Location : United States







Related Discussions:- Hamming window and zero padding, Assignment Help, Ask Question on Hamming window and zero padding, Get Answer, Expert's Help, Hamming window and zero padding Discussions

Write discussion on Hamming window and zero padding
Your posts are moderated
Related Questions
Distinguish between ferromagnetic and diamagnetic materials, mentioning at least one example of each. Ferromagnetic Materials: These are materials wherein magnetic dipoles in

Q. The electric field intensity due to a point charge in free space is given to be Determine the location and the value of the point charge.

Q. What are the advantages and disadvantages of a R-C coupled amplifier. Advantages · It has excellent frequency response. The gain is constant over the audio frequency ra

Q. What do you mean by Counters? The shift register can be used as a counter because the data are shifted for each clock pulse. A counter is a register that goes through a pred

1) Assume that we are given the continuous-time signal xa (t) = xa1 (t) + xa2 (t) + xa3 (t), where, xa1 (t) = 2 + cos3 (2pf1 t + p 3 ) + 2 cos(2pf2 t), xa2 (t) = 2 cos(2pf3 t)

Q. Explain working of Capacitor motors? Capacitor motors have a capacitor in series with the auxiliary winding and come in three varieties: capacitor start, two-value capacitor

how does the increase in the kinetic energy of a proton compare with the increase in kinetic energy of the alpha particle in part?

Merits and Demerits of Collector-to-base bias: Merits: In this type of circuit the circuit stabilizes the operating point against differences in temperature and β (that i

Q.  A shunt generator gives full load output of 30 kW at a terminal voltage of 200V. The armature and field resistance are 0.05? and 50? resp.. The iron and friction losses are 10

Q. Determine the Thevenin resistance viewed from terminals A-B of the circuit of Figure by setting independent sources to be zero and applying a test voltage at terminals A-B.