Obtain the sum of the squares of values, Mathematics

Assignment Help:

This question is in the form of an exercise and questions designed to give you more insight into signal processing. On the Moodle site for the module there is an EXCEL file called "FFT_exercise_2012". The first column contains the numbers 1 to 32. Then there is a column representing a "random time series", i.e. a digitised signal. The next eight columns are sine waves and cosine waves in pairs. The first pair is the fundamental based on 32 samples, i.e. one complete cycle. Then there are the second harmonics, and the third harmonics. The graphs for each of the digitised functions have been created to help you visualise these standard functions.

The time series given to you is the exact sum of a mean value plus a different multiple of each of these 8 sine and cosine components plus one further mystery harmonic. Your main task is to find these 10 values. But there are some initial tasks to help you think through how to find the values.

(a) Generate the columns on the EXCEL spreadsheet you will need for sin1, cos1, sin2, cos2, ... , sin4, cos4. Please note that the EXCEL function SIN(value) requires the value to be in radians. Also the EXCEL function PI() will give ??to lots of significant figures.

(b) Obtain the sum of the squares of values in each of the sine and cosine columns using EXCEL. What values do you obtain?

(c) What is the mean value of the random time series?

(d) What are the amplitudes of the 8 sinusoidal components that added to the mean make up the time series? Produce a table corresponding to sin1, cos1, sin2, cos2, etc.

(e) What is the amplitude of the mystery harmonic component and which component is it? Use the notation sin or cos plus a harmonic number, e.g. sin5, cos6, etc.


Related Discussions:- Obtain the sum of the squares of values

Determine the permutation, There are 6 contestants for the post of chairman...

There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may b

Find k to three decimal places, The population of a city is observed as gro...

The population of a city is observed as growing exponentially according to the function P(t) = P0 e kt , where the population doubled in the first 50 years. (a) Find k to three

Limits, evaluate limit as x approaches 0 (x squared times sin (1/x)

evaluate limit as x approaches 0 (x squared times sin (1/x)

Graphs, the value of y for which x=-1.5

the value of y for which x=-1.5

Trignometry, Define the given satatement : 1.sin90-sin89=sin10 using pythag...

Define the given satatement : 1.sin90-sin89=sin10 using pythagoras theoram 2. How can any value of sin and cosis always given any value of cosec.

Determine the taylor series, Example : Determine the Taylor series for f(x)...

Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin

Interpretation, Interpretation A high value of r as +0.9 or - 0...

Interpretation A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that there is a causal relationship that is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd