The application discloses a quarter inverse raised cosine window generating device and a steepest tracking filter, and the generating device comprises an input end, a subtracter, a first
adder, a second
adder, a first
integrator, a second
integrator, a fixed proportional controller and a time
delay device; the subtracter, the first
integrator and the second integrator are sequentially connected, the second integrator is connected with the subtracter, a
closed loop feedback is formed; the first integrator is connected with the first
adder, the first adder is connected with the fixed proportional controller, the fixed proportional controller is connected with the time
delay device, and the second integrator and the time
delay device are respectively connected to the second adder. The quarter inverse raised cosine
window function is generated by using multiple integrators, subtracters, time delay devices and multiple adders, which is different from the existing
window function; the steepest tracking filter is constructed by using the quarter inverse raised cosine window, the steepest filtering tracking mechanism is realized, the exponential tracking mechanism of the first-order inertial filter is broken through, and the filtering performance is effectively improved.