Add type hint for function to limit this in typescript

Question

let f = function () {
    this.aa += 1;
}

class A {
    constructor(f) {
        this.aa = 1;
        f.call(this);
        console.log(this.aa);
    }
}
new A(f)

how could I write a type definition for f? I want to make f only have this.aa.

Since there is this, so I guess using a class for f is more convenient. Maybe extends a base class? But how to write it?

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f is defined by the user, so f can't be A's method.