Introduction The Riemannian Sum is a discrete-time approximation of integration (which is a continuous time operation). The discrete-time approximation is useful because it allows integration to be performed on computer systems which are based on digital electronics. Digital electronics can only have discrete states (1s and Os) therefore all continuous-time signals are represented as a discrete-time signals on a computer system. Knowledge of the following topics is required to complete this assessment: Sampling - Converting x(t) to x[n] Converting between sample number (n) and time taken to reach that sample. This is discussed in Lecture 1. Nyquist Sampling Theorem - Discussed in Lecture 1. ● ● ● Overall Objective The objective for this assessment is for the student to write a C/C++ program that will generate a signal x[n]. The values for each sample of the signal and the value of the time (t) will be sent to a text file. This text file will then be used in MS Excel to plot the signal. The area under the signal (between 2 specified points in time) will then be calculated (in the C/C++ program) using the Riemannian Sum. This answer will be printed on the output window of the program. For this assessment a constant sampling time of 1ms will be used. Detailed Specification The C/C++ program will consist of 3 functions, these are: generateSignal (double* x_ptr, double t_start, double t_end) ● plotSignal (double* x_ptr) riemannianSum(double x_ptr) ● ● Generating the signal The function generateSignal(...) will be used generate the samples/values of x[n]. The signal will be generated from t = 0 up to t = (100ms + At) and At = 1ms. The signal to be generated is x(t) = sin(wt), where w = 2 nf and f = 50 Hz. You are free to declare any variables you may need inside this function, such as: pi, t, omega and n.

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Introduction
The Riemannian Sum is a discrete-time approximation of integration (which is a continuous
time operation). The discrete-time approximation is useful because it allows integration to be
performed on computer systems which are based on digital electronics. Digital electronics
can only have discrete states (1s and Os) therefore all continuous-time signals are
represented as a discrete-time signals on a computer system.
Knowledge of the following topics is required to complete this assessment:
Sampling - Converting x(t) to x[n]
Converting between sample number (n) and time taken to reach that sample. This is
discussed in Lecture 1.
Nyquist Sampling Theorem - Discussed in Lecture 1.
Overall Objective
The objective for this assessment is for the student to write a C/C++ program that will
generate a signal x[n]. The values
(t) will be sent to a text file. This text file will then be used in MS Excel to plot the signal.
each sample of the signal and the value of the time
The area under the signal (between 2 specified points in time) will then be calculated (in the
C/C++ program) using the Riemannian Sum. This answer will be printed on the output
window of the program.
For this assessment a constant sampling time of 1ms will be used.
Detailed Specification
The C/C++ program will consist of 3 functions, these are:
generateSignal(double* x_ptr, double t_start, double t_end)
plotsignal (double* x_ptr)
riemannianSum(double x_ptr)
Generating the signal
The function generateSignal.) will be used generate the samples/values of x[n]. The
signal will be generated from t = 0 up to t = (100ms + At) and At = 1ms. The signal to
be generated is x(t) = sin(wt), where w = 2 uf and f = 50 Hz. You are free to declare
any variables you may need inside this function, such as: pi,t, omega and n.
Transcribed Image Text:Introduction The Riemannian Sum is a discrete-time approximation of integration (which is a continuous time operation). The discrete-time approximation is useful because it allows integration to be performed on computer systems which are based on digital electronics. Digital electronics can only have discrete states (1s and Os) therefore all continuous-time signals are represented as a discrete-time signals on a computer system. Knowledge of the following topics is required to complete this assessment: Sampling - Converting x(t) to x[n] Converting between sample number (n) and time taken to reach that sample. This is discussed in Lecture 1. Nyquist Sampling Theorem - Discussed in Lecture 1. Overall Objective The objective for this assessment is for the student to write a C/C++ program that will generate a signal x[n]. The values (t) will be sent to a text file. This text file will then be used in MS Excel to plot the signal. each sample of the signal and the value of the time The area under the signal (between 2 specified points in time) will then be calculated (in the C/C++ program) using the Riemannian Sum. This answer will be printed on the output window of the program. For this assessment a constant sampling time of 1ms will be used. Detailed Specification The C/C++ program will consist of 3 functions, these are: generateSignal(double* x_ptr, double t_start, double t_end) plotsignal (double* x_ptr) riemannianSum(double x_ptr) Generating the signal The function generateSignal.) will be used generate the samples/values of x[n]. The signal will be generated from t = 0 up to t = (100ms + At) and At = 1ms. The signal to be generated is x(t) = sin(wt), where w = 2 uf and f = 50 Hz. You are free to declare any variables you may need inside this function, such as: pi,t, omega and n.
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