Apply an IIR/FIR recurrence filter to data
RecurrenceFilter[{α, β}, x]
RecurrenceFilter[tf, x]
RecurrenceFilter[…, x, {y0, y -1, …}]
RecurrenceFilter[…, image]
RecurrenceFilter[…, sound]
RecurrenceFilter[{{1, -(1/2)}, {1}}, {1, 0, 0, 0, 0, 0}]
→ {1, 1/2, 1/4, 1/8, 1/16, 1/32}RecurrenceFilter[{{1, -(1/2)}, {1}}, {a, b, c, d}]
→ {a, a/2 + b, c + (a/2 + b)/2, d + (c + (a/2 + b)/2)/2}RecurrenceFilter[{{1, Subscript[α, 1]}, {β}}, {1, 0, 0, 0, 0, 0}]
→ {β, -(β*Subscript[α, 1]), β*Subscript[α, 1]^2, -(β*Subscript[α, 1]^3), β*Subscript[α, 1]^4, -(β*Subscript[α, 1]^5)}