lecture15 - Combination of tones (Road to discuss harmony)...

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Unformatted text preview: Combination of tones (Road to discuss harmony) 1. Linear superposition If two driving forces are applied simultaneously, the response will be the sum of the responses to the driving forces individually. For instance: doubling the driving force doubles the response. In linear systems independent signals do not influence each other. ) , ( ) , ( ) , ( 2 1 t r t r t r + = Linear addition of two sound waves: Linear systems (examples): Loudspeakers, microphones and amplifiers should be linear to some extent. Is ear a linear system? 2. Interference (review) Interference combination of waves (an interaction of two or more waves arriving at the same place) Important : principle of linear superposition: (a) If the interfering waves add up so that they reinforce each other, the total wave is larger; this is called constructive interference . (b) If the interfering waves add up so that they cancel each other, the total wave is smaller (or even zero); this is called destructive interference...
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lecture15 - Combination of tones (Road to discuss harmony)...

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