What is the expression for fourier transform of dtmf signal

Assignment Help Electrical Engineering

Reference no: EM13230011

A DTMF signal with duration T seconds can be modeled as a sum of two cosine signals with frequencies frand fc, multiplied by a rectangle function. For example, the DTMF signal for "1" is

g1(t) = rect (t/T) * [cos(2pi*687t)+cos(2pi*1209t)]

1). What is the expression for the Fourier transform of a DTMF signal?

2). Sketch the amplitude spectrum of a DTMF signal with infinite duration, i.e., with T = infinity.

3). Sketch the amplitude spectrum of a DTMF signal with finite duration. You should make this sketch by hand, using the Fourier transform expression obtained in part 1). What happens to the DTMF spectrum when T is "too small"?

4). What would you estimate as the smallest value of signal duration T so that the spectra of the 12 DTMF signals are distinguishable from each other?

Reference no: EM13230011

Questions Cloud

Determine the optimal number of clerks : Using the information provided, determine the optimal number of clerks to have on duty each Saturday in order to minimize the store's total expected cost.

How many customers could be served per hour : If all the seven tasks are handled by one employee, how many customers could be served per hour?

Identify a local firm that has enjoyed great growth : With your instructors help identify a local firm that has enjoyed great growth in recent years to what degree and in what ways do you think this from success resulted from taking advantage of favorable conditions and it's remote industry and opera..

Prepare a brief strategy strategic plan is to improve : Develop a competitor profile for your college and for the college geographically closest to yours next prepare a brief strategy strategic plan is to improve the competitive position of the weaker of the two colleges. Please post responces by an ..

What is the expression for fourier transform of dtmf signal : Sketch the amplitude spectrum of a DTMF signal with finite duration. You should make this sketch by hand, using the Fourier transform expression obtained in part 1). What happens to the DTMF spectrum when T is "too small"

How does the it strategy of 7/11 influence other aspects : How does the IT strategy of 7/11 influence other aspects of the business (such as inventory, human resources, or vendor relationships management)?

Discuss the applicability of each of five types in project : The five styles of leadership are situational, charismatic, humane and ethical, global and societal and multicultural leadership.

How effective are actions by project managers : What separates these characteristics from management techniques? How effective are actions by project managers (or individuals in other business leadership positions) in accomplishing company objectives?

Find the x in ft so that raction at the left column : A horizontal beam of negligible weight is 38ft long andis supported by columns on each side. a verticle load of 68000lbs is applied to the beam at a distance X from the left end. find the X in ft so that raction at the left column is 47000 lbs

User Account

All Pages