MA 527 Dr. Park.

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Presentation transcript:

MA 527 Dr. Park

Waves and Signals The Wavelength (λ) of a wave = the distance between successive crests or high points of a wave (or between successive troughs or low points) The Frequency (k) of a wave = the number of waves that pass a given point in some unit of time (usually per second) -- unit: hertz The amplitude of a wave = the maximum height of a wave The speed of a wave (v): V = λ k Questions: How do we measure or compute the frequencies? Any easy way?

Decomposing a signal The red signal is a sum of six sine functions of different amplitudes and harmonically related frequencies. Their summation is called a Fourier series. The Fourier transform of the signal depicts amplitude vs frequency. The Fourier transform reveals the six frequencies and their amplitudes. A time-domain graph shows how a signal changes over time. A frequency-domain graph shows how much of the signal lies within each given frequency band over a range of frequencies.