Analog PM Modulation

Sawtooth Waveform

İfade 10: "p" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals negative 2 plus Start sum from "n" equals 1 to "L" , end sum, "A" Subscript, "m" , Baseline times StartFraction, sin left parenthesis, "p" "t" "n" , right parenthesis Over "n" , EndFraction left brace, "t" greater than or equal to 0 , right brace

Square Waveform

İfade 12: "p" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis equals negative 2 plus Start sum from "n" equals 1 to "L" , end sum, "A" Subscript, "m" , Baseline times StartFraction, sin left parenthesis, "p" "t" left parenthesis, 2 "n" minus 1 , right parenthesis , right parenthesis Over left parenthesis, 2 "n" minus 1 , right parenthesis , EndFraction left brace, "t" greater than or equal to 0 , right brace

PM Modulation

İfade 14: "f" Subscript, "c" , Baseline equals 10

negative 10

İfade 15: "k" Subscript, "p" , Baseline equals 1

negative 10

İfade 16: "m" left parenthesis, "t" , right parenthesis equals "k" Subscript, "p" , Baseline times left parenthesis, left parenthesis, 2 plus "p" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis , right parenthesis times "o" Subscript, 1 , Baseline plus left parenthesis, 2 plus "p" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis , right parenthesis times "o" Subscript, 2 , Baseline plus left parenthesis, 2 plus "p" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis , right parenthesis times "o" Subscript, 3 , Baseline , right parenthesis

İfade 17: "c" left parenthesis, "t" , right parenthesis equals cosine left parenthesis, 2 times pi times "f" Subscript, "c" , Baseline times "t" plus "m" left parenthesis, "t" , right parenthesis , right parenthesis

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sağlayıcı

Triangle Waveform

Sawtooth Waveform

Square Waveform