rxjs observable changing interval

You can dynamically control the period using a Subject together with switchMap and interval. Whenever the subject emits a value, that value can be used to specify the interval's period:

const t = Date.now();

let subject = new Rx.Subject();
subject
  .switchMap(period => Rx.Observable.interval(period))
  .do(() => console.log('some action at time T+' + (Date.now() - t)))
  .take(8)
  .subscribe();

subject.next(50);
setTimeout(() => subject.next(100), 200);
setTimeout(() => subject.next(200), 400);
<script src="https://unpkg.com/rxjs@5/bundles/Rx.min.js"></script>

Here's an elegant solution based on RxJS 6:

import { interval, BehaviorSubject } from 'rxjs';
import { switchMap, tap } from 'rxjs/operators';

export class SomeComponent implements OnInit {
  private interval$: BehaviorSubject<number> = new BehaviorSubject(10000);

  ngOnInit() {
    this.interval$.pipe(
        //Assuming that the value provided by the input is in seconds
        switchMap(value => interval(value * 1000)),
        tap(() => this.doStuff())
    )
    .subscribe();
  }

  intervalChanged(value){
    console.log(value);
    this.interval$.next(value);
  }

  doStuff(){
    console.log("Hi!");
  }
}

Template:

<input (input)="intervalChanged($event.target.value)" type="number">

Adding a working example to help the Googlers

let startButton = document.getElementById('start');
let stopButton  = document.getElementById('stop');
let updateButton = document.getElementById('update');
let i1 = document.getElementById('i1');

const start$ = Rx.Observable.fromEvent(startButton, 'click');
const stop$ = Rx.Observable.fromEvent(stopButton, 'click');
const update$ = Rx.Observable.fromEvent(updateButton, 'click')

const period = () => (parseInt(i1.value));


Rx.Observable.merge(
    start$, 
    update$, 
  )
  .switchMap(() => {
    return Rx.Observable.interval(period()).takeUntil(stop$);
  })
  .subscribe(res => {
    console.log('here in the subscription:' + res);
  })
<script src="https://unpkg.com/rxjs@5/bundles/Rx.min.js"></script>
<body>
  <button id="start">Start</button>
  <button id="stop">Stop</button>
  <button id="update">Update</button>
  <input id="i1" value=100></input>
</body>