Errata Please send email to peter@ece.uvic.ca with any errata you find or any suggestions for clarification. page 21 Example 4 y[n] = b_0 x[n] + b_1 x[n-1] + b_2 x[n-2] or y[n] = sum_{k=0}^{2} h_k x[n-k] where h_k = b_k thus b = [b_0 b_1 b_2] = [h_0 h_1 h_2] = h = vector with 3 elements alpha = [1] vector with 1 element thus for FIR filter y = filter (h,1,x) where the vector h is the impulse response page 29 after eqn 2.65 2nd line "for all k > 0" since a_0=1 page 31 after eqn 2.71 "NEGATIVE powers of z" page 33 eqn 2.90 and 2.93 b_0 is taken out as a common factor because it does not affect the values of z_1 z_2 p_1 p_2 b_0 is a scaling factor page 34 after eqn 2.109 b_0 is not boldface page 37 show partial fractions of H(z)/z with extra term c_3/z page 41 eqn 2.198 first term has term r^n page 44 table last entry should be 2\rho r^n ... page 47 use capital Omega (ohms symbol)= omega T page 50 add footnote on dividing complex numbers (A+jB)/(C+jD)= ... mag = ... phase = ... page 57 equation 3.77 a plus sign is missing between "a1 y[n-1]" and "a2 y[n-2]" page 58 A = [1 +alpha] --- Equation 3.89 TYPO shouldbe [ 1 -alpha] Page 61 Because the different equation 3.123 is y[n] = bo x[n] - bo beta x [n-1], the equation 3.125 should read B = bo [ 1 -beta] I think the last two entries in the table listing of page 55 should be lowpass and high pass instead of allpass and allpass for the given poles. Suggestion: p1 p2 response 0.5 2.0 lowpass -0.5 -2.0 highpass intent was p1 z1 response 0.5 2.0 all pass -0.5 -2.0 all pass On page 56 in the table the last three entries should read as follows: p1 p2 z1 z2 response 0.5 2.0 0 0 low pass 0.8 1.25 0 0 low pass -0.5 -2.0 0 0 high pass original intent p1=1/z1 p1 p2 z1 z2 response 0.5 0 2.0 0 all pass 0.8 0 1.25 0 all pass -0.5 0 -2.0 0 all pass book 2 page 11, the second convergence test is called the root test Page 10 now. Equation 2.47. 1/m! should be 1/(m-1)! page 8: The integral of 1/z dz around the unit circle is 2pij, and the integral of z^m around the same contour = 2pi j delta(m+1). page 9 typo "domain" instead of "somain" equation 2.29 du/dx=dv/dy and dv/dy =-du/dy page 7, the sign of the second term in eqn (2.15) should be negative rather than positive