tailieunhanh - Lecture 14: The Theoretical Basis for Data Communication:

Fourier Theorem: In the early 19th century, the French mathematician Jean-Baptiste Fourier states that: Any periodic waveform can be expressed as the sum of sine waves with frequencies at integer or harmonic multiples of the fundamental frequency of the waveform and with appropriate maximum amplitudes and phases. | CSN200 Introduction to Telecommunications, Winter 2000 Lecture 14 Communication Basics Part-2 The Theoretical Basis for Data Communication: Frequency-domain concept: A sine wave with a frequency of 1 kHz will look like this in the frequency domain: Signal Amplitude, A 1 kHz Frequency, f Fourier Theorem: In the early 19th century, the French mathematician Jean-Baptiste Fourier states that: Any periodic waveform can be expressed as the sum of sine waves with frequencies at integer or harmonic multiples of the fundamental frequency of the waveform and with appropriate maximum amplitudes and phases. A square wave of 1 kHz is composed of a 1 kHz sine wave and its odd multiples (Harmonics) with diminishing amplitudes: A Sin(2π(f1)t) + A/3 sin(2π(3f1)t) + A/5 sin(2π(5f1)t) + A/7 sin(2π(7f1)t) Signal Amplitude, A 1 kHz 3 kHz 5 kHz 7 kHz Frequency, f Reed organ is also called Harmonica, as the reeds are tuned to vibrate at harmonics of the fundamental signal. Lecture Page 1 (6) CSN200 Introduction to Telecommunications, Winter 2000 Lecture 14 Communication Basics Part-2 Addition of Frequency Components: Lecture Page 2 (6) CSN200 Introduction to Telecommunications, Winter 2000 Lecture 14 Communication Basics Part-2 Addition of More Frequency Components: Lecture Page 3 (6) CSN200 Introduction to Telecommunications, Winter 2000 Lecture 14 Communication Basics Part-2 Voice signal: Voice signal is an analog signal with frequency components in the range of 20Hz to 20kHz: Signal Amplitude, A Voice signal Time, t Signal Amplitude, A 1 kHz 3 kHz Frequency, f Spectrum, of a signal is the range of frequencies that it contains. The intelligent voice signal spectrum extends from 300 Hz to 3400 Hz. Bandwidth, of a signal is the width of the spectrum. The bandwidth of the intelligent voice signal is 3100 Hz Telephone equipment allows the voice a bandwidth of 4000Hz, which includes a guard band at top (600Hz) and bottom (300Hz) to prevent interference. This limit on .

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