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Specifications

band a b Function
Create a band, i.e., a representation for the interval of frequencies [a..b].

limit-< band u Command
limit-< band u w Command
limit-<= band u Command
limit-<= band u w Command
These commands establish a specification of the form H(f) <= u(f) in the band band. There is no difference between limit-< and limit-<=. The weight w is an optional function of the frequency f. The default weight is 1. If band is a number, it is converted internally into the band consisting of the single frequency band. If u is a number, it is converted internally into the constant function (lambda (f) u). A similar conversion applies to the weight.

limit-> band u Command
limit-> band u w Command
limit->= band u Command
limit->= band u w Command
These commands establish a specification of the form H(f) >= u(f) in the band band. The remaining parameters are as in the command limit-<.

limit-= band u Command
limit-= band u w Command
Shortcut for the sequence of commands (limit-< band u w) and (limit-> band u w).

upward band Command
downward band Command
These commands establish a specification of the form H'(f) >= u(f) and H'(f) <= u(f) (respectively) in the band band.

concave-up band Command
concave-down band Command
These commands establish a specification of the form H"(f) >= u(f) and H"(f) <= u(f) (respectively) in the band band.