Explain, in your own works the purpose of the Adder module in this experiment?

The amplitude modulation is a complete arrangement of system that increases depth of modulation and the modulation process can be 100 % if m becomes equal to 1 state. In case of AC amplitude the amplitude is equal to the DC part of the signal. The adders are used for the output when the ratio becomes equal to unity. The AM spectrum uses signal processing and the variable modulation is measurable in case of voltage defined system

The equation represents variable DC module with the adjustable amplitude of the wave and the output of the Adder measured for the variable DC module. The AC term is used for the audio oscillator and can be adjusted for the ADDER output.  In the AC single the amplitude cannot exceed from the maximum magnitude of the DC and previously measured ADDER output for the signal.

The amplitude depth is measured for inspection at the same time the practical circuity of modular works for the modelling. The main role AC and DC module is in TIMS, modulators, and multipliers. The ADDER output from the scope selector considers the response from the oscilloscope amplifier and convenient polarity is reversed by the ADDER. The sine wave will be centered on the zero reference where the amplitude at ADDER output becomes same

While m= 1

Explain, in your own words the purpose of the LPF in the experiment?

In the audio oscillator the lowering of frequency is main feature that works for the approximation of frequency, filter bandwidth, and for the rectification of the sinewaves as full waves. The frequency of higher amplitude is replaceable and even more tunable for the LPF as low pass filter. 

The input of the circuit is an ideal envelope connected with TIMS while on the other hand ideal rectifier works for TIMS UTILITIES. The complete diode detector is combination of LPF and DIODE at the equal module. The desirable characteristics are maintained for low pass filter and works efficiently for the ideal envelope detectors.   The LPF is a tunable module that works efficiently for widest bandwidth. The audio oscillator gets the signal and master signal modules works at low passband gains. The LPF that is tunable can be replaced with 60 kHz Low pass filters and audio signals are provided with SPEECH module.   

What message and carrier frequencies will be used in this experiment?

In the experiment, the depth of modulation for AM signal must be 50 % and the message frequency should be attained at maximum accuracy. The DSBSC consideration are important for the carrier frequencies and the inequality becomes as

The inequality is meaningless for this case and in case of AM it becomes m < 1. In the present instance the carrier frequency is higher at the envelope. The lowering of carrier frequency becomes more helpful for the envelope work.

Draw a sketch, including frequency on the x-axis of what you expect the power spectrum of the AM signal to look like based on the answers to the previous question. Show mathematically why the specific frequencies appear.  Hint utilize Euhler’s relationship

In case of an ideal rectifier, the square wave have phases higher than the AM waves. The Fourier series expansion can be explained for the odd harmonics and rectifier output.

The rectifier that is centered on the AM is related to the harmonics and the rectifier output can be written as

 The AM signal becomes

The near turn becomes exact for the rectified output.

As we know the Euler’s relationship

The amplitude modulated signal is defined as:

= [low frequency term a (t)] x [high frequency term c (t)]

Where E is AM signal amplitude.

A(t)= DC+m (t)