Error in synchronous Demodulator ระบบวิทยุ (Radio System) ผู้ช่วยศาสตราจารย์ธราดล โกมลมิศร์ ภาควิชาวิศวกรรมไฟฟ้า คณะวิศวกรรมศาสตร์ มหาวิทยาลัยเชียงใหม่
Error in Synchronous Demodulator 2 กำหนดให้ Carrier (f c =100,000Hz) Cos2 f c t = Cos2 100,000t Modulating signal (f m =1,000Hz) Cos2 f m t = Cos2 1,000t DSB-SC Modulated signal Cos2 f c tCos2 f m t = Cos2 100,000tCos2 1,000t = 0.5Cos2 101,000t+0.5Cos2 99,000t = 0.5Cos2 101,000t+0.5Cos2 99,000t SSB Modulated signal (USB) 0.5Cos2 101,000t SSB Modulated signal (LSB) 0.5Cos2 99,000t
Error in Synchronous Demodulator 3 No error f LO =f C : DSB-SC Local Oscillator = Cos2 100,000t Demodulated signal for DSB-SC (before LPF) (0.5Cos2 101,000t+0.5Cos2 99,000t)Cos2 100,000t(0.5Cos2 101,000t+0.5Cos2 99,000t)Cos2 100,000t 0.5Cos2 101,000tCos2 100,000t +0.5Cos2 99,000tCos2 100,000t 0.5Cos2 101,000tCos2 100,000t +0.5Cos2 99,000tCos2 100,000t 0.25Cos2 201,000t Cos2 1,000t +0.25Cos2 199,000t Cos(-2 1,000t) 0.25Cos2 201,000t Cos2 1,000t +0.25Cos2 199,000t Cos(-2 1,000t) Demodulated signal for DSB-SC (After LPF) 0.25Cos2 1,000t Cos2 1,000t = 0.5Cos2 1,000t0.25Cos2 1,000t Cos2 1,000t = 0.5Cos2 1,000t
Error in Synchronous Demodulator 4 No error f LO =f C : DSB-SC Spectrum (before LPF) Spectrum (after LPF) Signal (after LPF) f 201, ,00 0 1, , , ,00 0 f 1, ,00 0 1,000 Hz (ok)
Error in Synchronous Demodulator 5 No error f LO =f C : SSB-USB Local Oscillator = Cos2 100,000t Demodulated signal for SSB-USB (before LPF) = 0.5Cos2 101,000tCos2 100,000t =0.25Cos2 201,000t Cos2 1,000t Demodulated signal for SSB-USB (After LPF) = 0.25Cos2 1,000t
Error in Synchronous Demodulator 6 No error f LO =f C : SSB-USB Spectrum (before LPF) Spectrum (after LPF) Signal (after LPF) f 201,00 0 1, , ,00 0 f 1, ,00 0 1,000 Hz (ok)
Error in Synchronous Demodulator 7 Frequency error f= +1 Hz : DSB-SC Local Oscillator = Cos2 100,001t Demodulated signal for DSB-SC (before LPF) =(0.5Cos2 101,000t+0.5Cos2 99,000t)Cos2 100,001t = 0.5Cos2 101,000tCos2 100,001t +0.5Cos2 99,000tCos2 100,001t = 0.25Cos2 201,001t Cos2 999t +0.25Cos2 199,001t Cos2 1,001t Demodulated signal for DSB-SC (After LPF) = 0.25Cos2 999t Cos2 1,001t = 0.5Cos2 1,000tCos2 1t
Error in Synchronous Demodulator 8 Frequency error f= +1 Hz : DSB-SC Spectrum (before LPF) Spectrum (after LPF) Signal (after LPF) f 201, , ,001 -1, , ,00 1 f 999 1,001 -1, Hz 1,000 Hz
Error in Synchronous Demodulator 9 Frequency error f= +1 Hz : SSB-USB Local Oscillator = Cos2 100,001t Demodulated signal for SSB-USB (before LPF) =0.5Cos2 101,000tCos2 100,001t =0.25Cos2 201,001t Cos2 999t Demodulated signal for SSB-USB (After LPF) = 0.25Cos2 999t
Error in Synchronous Demodulator 10 Frequency error f= +1 Hz : SSB-USB Spectrum (before LPF) Spectrum (after LPF) Signal (after LPF) f 201, ,00 1 f Hz (frequency change)
Error in Synchronous Demodulator 11 Phase error = /4 : DSB-SC Local Oscillator = Cos(2 100,000t+ /4) Demodulated signal for DSB-SC (before LPF) =(0.5Cos2 101,000t+0.5Cos2 99,000t)Cos(2 100,000t+ /4) = 0.5Cos2 101,000tCos(2 100,000t + /4) +0.5Cos2 99,000tCos(2 100,000t + /4) = 0.25Cos(2 201,000t+ /4) Cos(2 1,000t- /4) +0.25Cos(2 199,000t+ /4) Cos(-2 1,000t- /4) Demodulated signal for DSB-SC (After LPF) = 0.25Cos(2 1,000t- /4) Cos(2 1,000t+ /4) = 0.5Cos2 1,000tCos /4 = 0.707x0.5Cos2 1,000t
Error in Synchronous Demodulator 12 Phase error = /4 : DSB-SC Spectrum (before LPF) Spectrum (after LPF) Signal (after LPF) f 201, ,00 0 1, , , ,00 0 f 1, ,000 1kHz (amplitude drop)
Error in Synchronous Demodulator 13 Phase error = /4 : SSB-USB Local Oscillator = Cos(2 100,000t+ /4) Demodulated signal for DSB-SC (before LPF) = 0.5Cos2 101,000tCos(2 100,000t + /4) = 0.25Cos(2 201,000t+ /4) Cos(2 1,000t- /4) Demodulated signal for DSB-SC (After LPF) = 0.25Cos(2 1,000t- /4)
Error in Synchronous Demodulator 14 Phase error = /4 : SSB-USB Spectrum (before LPF) Spectrum (after LPF) Signal (after LPF) f 201,00 0 1, , ,00 0 f 1, ,00 0 1kHz(shift phase)