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试设计满足下列技术指标的BW型模拟带通滤波器:

wp1 = 6 rad/s, wp2 = 8 rad/s, ws1 = 4 rad/s, ws2 = 11 rad/s, Ap <= 1dB, As >= 32 dB.

[思路分析]

(1)根据带通滤波器的上下截频, 确定参数B和w0:

B = wp2 - wp1, w0^2 = wp1 * wp2.

(2)确定原型低通滤波器的通带截频wp_和阻带截频ws_:

ws1_ = (ws1 * ws1 - w0 * w0) / (B * ws1);

ws2_ = (ws2 * ws2 - w0 * w0) / (B * ws2);

ws_ = min{|ws1_|, |ws2_|};

wp_ = 1.

(3)设计技术指标为wp_, ws_, Ap <= 1dB, As >= 32dB的BW型模拟低通滤波器HL(s_);

(4)利用复频率转换获得高通滤波器的系统函数HBP(s);

(5)绘制所设计滤波器的增益响应曲线.

[设计过程实现代码]

% 设计 BW型 模拟带通滤波器% 技术指标wp1 = 6; wp2 = 8; ws1 = 4; ws2 = 11; Ap = 1; As = 32;% (1)根据带通滤波器通带的上下截频, 确定转换式中的参数B和w0B = wp2 - wp1;w0 = sqrt(wp1 * wp2);% (2)确定原型低通滤波器的通带截频wp'和阻带截频ws'ws1_ = (ws1 * ws1 - w0 * w0) / (B * ws1);ws2_ = (ws2 * ws2 - w0 * w0) / (B * ws2);if abs(ws1_) < abs(ws2_)    ws_ =