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A Study of Mathematical Backgrounds Behind the Digitally Communicative Switches Design

2021; Springer Nature; Linguagem: Inglês

10.1007/978-981-16-4177-0_36

2190-3026

Man Singh, Sanyam Gupta, Laxminarayan Das,

Multimedia Communication and Technology

Dial tone frequency modulation, demodulation process through a microcontroller sound card and suitable codec program are a conventional telecommunication technique used in telephone service systems. Practically, the dial tone frequency modulation, demodulation tasks are performed through a finite sequence obtained from the Fourier transformation of a $${\text{sine}}\left( {nx} \right)\,{\text{or}}\,{\text{cosine}}\left( {nx} \right)$$ sequence functions. The paper considered mathematical algorithms are applied to encode and decode the linked matrix element switch positioning row and column sampling frequencies to form the finite Fourier sine and cosine transforms with the help of MATLAB program to experiment a sound beat formed sample bit image spectra. The obtained tuning sound forms are audible from the computer microphone speaker if the sine transform spectra images are processed through the computer memory processor input signal formatted sound encoder decoder card. The paper also emphasizes the numerical technique’s brief concept to establish the congruence modulo relations to represent switch matrix number and symbols.