回复:急求:用单片机做fsk的调制和解调
FSK解码原理及实现方法
1.解码数学原理
条件:
FSK的频率为:1200/2200-->1/0;
wc = 1700,即(1200 2200)/2,设delta = 500/-500;
T是采样周期
则:
1200 可表示为cos((wc-delta)*t);
2200 可表示为cos((wc delta)*t);
设第n次采样值为cos((wc /-delta)*(t-T)),第n 1采样值为cos((wc /-delta)*t).
有:
Value(n)*Value(n 1) =
cos((wc /-delta)*t)*cos((wc /-delta)*(t-T))
= [cos((wc /-delta)*t (wc /-delta)*(t-T)) cos((wc /-delta)*t-(wc /-delta)*(t-
T))]/2
= [cos(2*(wc /-delta)*t-(wc /-delta)*T) cos((wc /-delta)*T)]/2
(1)
(H) (L)
将(1)式通过一个低通滤波器,则(1)式的(H)项即2位频率被滤掉,只剩下(L)项:
(1)--->Lowpass filter--->cos((wc /-delta)*T)
再看:
cos((wc /-delta)*T) = cos(wc*T /-delta*T) (2)
IF: wc*T = PI/2
则 cos(wc*T /-delta*T) = cos(PI/2 /-delta*T)
= -/ sin(delta*T) (3)
(3)式则是FSK的值,
2.滤波器.
对于来电显示,下面这段程序可以达到解码的要求
定义:
#define FSKBUF 4
byte g_cADCResult;//A/D的采样值
int currentx,currenty,lastx,last_sample;
int g_iFSKBuf[FSKBUF];
int g_iFSKAvg;
int g_iFSKBuf1[FSKBUF];
int g_iFSKAvg1;
int g_iFSKBuf2[FSKBUF];
int g_iFSKAvg2;
byte g_cFSKBufPoint;
//在滤波之前将变量初化为0
程序实现每次采样要做以下工作,注意采样频率和CID的波特率不是倍数关系
currentx = g_cADCResult;
currenty = last_sample;
last_sample = currentx;
//last sample in currenty,now sample in currenx;
currenty *= currentx;//cos(t)*cos(t-T) = -/ sin(delta*T);
//------avg--lowpass filter;
g_iFSKAvg -= g_iFSKBuf[g_cFSKBufPoint];
g_iFSKBuf[g_cFSKBufPoint] = currenty;
g_iFSKAvg = currenty;
currenty = g_iFSKAvg;
//---------end filter;
g_iFSKAvg1 -= g_iFSKBuf1[g_cFSKBufPoint];
g_iFSKBuf1[g_cFSKBufPoint] = currenty;
g_iFSKAvg1 = currenty;
currenty = g_iFSKAvg1;
//second filter over
g_iFSKAvg2 -= g_iFSKBuf2[g_cFSKBufPoint];
g_iFSKBuf2[g_cFSKBufPoint] = currenty;
g_iFSKAvg2 = currenty;
currenty = g_iFSKAvg2;
//third filter over
g_cFSKBufPoint ;
g_cFSKBufPoint = FSKBUF;
if(currenty>0)
{
//接收到bit 1
}
else
{
//接收到bit 0
}